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    Classification of 4d Black Hole Solutions to Einstein-maxwell Theory with Cosmological Constant

    , M.Sc. Thesis Sharif University of Technology Esmaeili, Erfan (Author) ; Sheikh Jabbari, Mohammad Mahdi (Supervisor) ; Bahmanabadi, Mahmoud (Supervisor)
    Abstract
    We discuss and classify all four dimensional black hole solutions to Einstein-Maxwell-Lambda theory. These solutions contain a black hole region with an event horizon. The cosmological constant can be nonzero and the black hole may possess electric and magnetic charge. We classify solutions according to their asymptotic behavior. Three major parts are asymptotic-flat, asymptotic-de Sitter and asymptotic-Anti-de Sitter and in all of them we discuss Schwarzschild, Reissner-Nordstrom, Kerr and Kerr-Newman black holes separately. Black holes can also have NUT charge and acceleration parameter which make the solution singular in one direction. As a result, these solutions are asymptotically... 

    A Survey on Black Hole Physics

    , M.Sc. Thesis Sharif University of Technology Neshat, Houman (Author) ; Bahmanabadi, Mahmoud (Supervisor) ; Sheikh-Jabbari, Mohammad Mahdi (Co-Supervisor)
    Abstract
    Black holes are a general set of solutions of Einstein’s general relativity. Their most important feature is the horizon, which is basically a region that separates the space-time into two causally disconnected regions. Studying the general features of black holes, classifying this family of solutions and studying the dynamics of particles and fields in the background of a given black hole are famous subjects in the field of classical black hole physics which are going to be covered in this thesis. By putting different conditions on the equations, we will get different solutions like Schwarzschild, Reissner-Nordstrom, Kerr, Kerr-Newman and etc, each of them having specific features. Then we... 

    Symplectic Symmetry, NHEG Algebra and Its Representation

    , M.Sc. Thesis Sharif University of Technology Javadinezhad, Reza (Author) ; Bahmanabadi, Mahmoud (Supervisor) ; Sheikh Jabbari, Mohammad Mahdi (Co-Advisor)
    Abstract
    The phase space of the Near Horizon of Extremal Geometries has been studied in ”arXiv:1506.07181”. The phase space for the NHEGs consists of the space of all near horizon geometries with a given symmetry. Utilizing covariant phase space method we will build the symplectic two form on the phase space and will use it to define the notion of symplectic symmetry. The conserved charges corresponding to this symmetries form a symmetry algebra which is called NHEG algebra. It turns out that this algebra is a generalization of the celebrated Virasoro algebra. In this thesis we will first review necessary concepts for construction of the phase space of a Lagrangian field theory and will build the... 

    QFT in Curved Space-Time and it’s Applications in Cosmological Perturbation theory

    , M.Sc. Thesis Sharif University of Technology Ebrahimian, Ehsan (Author) ; Abolhassani, Ali Akbar (Supervisor) ; Sheikh Jabbari, Mohammad Mahdi (Co-Advisor)
    Abstract
    We know the matter can curve the space-time according to the general theory of relativity. On the other hand Quantum Field Theory has been formulated in a flat space-time and we cannot use most of its techniques within a curved space-time. Formulating the Quantum Field Theory in curved space-time is important for various subjects in physics like early universe or black hole physics. We will review the formulating QFT in cosmological background and will look for observable consequences on Cosmological Microwave Background in this thesis  

    The Effects of Tachyonic Instabilities and Non-Gaussian Perturbations During Cosmic Inflation and Reheating

    , Ph.D. Dissertation Sharif University of Technology Abolhasani, Ali Akbar (Author) ; Firouzjahi, Hassan (Supervisor) ; Golshani, Mehdi (Co-Advisor) ; Sheikh Jabbari, Mohammad Mahdi (Co-Advisor)
    Abstract
    The cosmic inflation paradigmwas first introduced as a possible solution to the standardBig Bang cosmology problems. [1]. The inflationary models not only provide a solutionfor so the called flatness and horizon problems, but also they predict perturbations asprimordial seeds of large scale structures of Universe. Inflationary models can connecthigh-energy physics to the experiments. There is a mutual relation between inflationand high energy physics. It is necessary to find a fundamental description of inflationarymechanism and on the other hand the observational predictions of inflationary modelscan put bound on free parameters of associated fundamental theories. Thanks to vastdata... 

    Classification of all 1/2 BPS solutions of the tiny graviton matrix theory

    , Article Journal of High Energy Physics ; Issue 4 , 2005 , Pages 1-35 ; 10298479 (ISSN) Sheikh Jabbari, M. M ; Torabian, M ; Sharif University of Technology
    2005
    Abstract
    The tiny graviton Matrix theory [1] is proposed to describe DLCQ of type IIB string theory on the maximally supersymmetric plane-wave or AdS5 × S5 background. In this paper we provide further evidence in support of the tiny graviton conjecture by focusing on the zero energy, half BPS configurations of this matrix theory and classify all of them. These vacua are generically of the form of various three sphere giant gravitons. We clarify the connection between our solutions and the half BPS configuration in script N sign = 4 SYM theory and their gravity duals. Moreover, using our half BPS solutions, we show how the tiny graviton Matrix theory and the mass deformed D = 3,script N sign = 8... 

    On the Spectrum of Modified Theories of Gravity

    , M.Sc. Thesis Sharif University of Technology Seraj, Ali (Author) ; Golshani, Mehdi (Supervisor) ; Sheikh Jabbari, Mohammad Mehdi (Supervisor)
    Abstract
    There are different approaches in modifications of General Relativity as the theory of gravity. The modified theories of gravity are important cases in this context, which mostly start by modifying the Einstein-Hilbert action, while keeping the general covariance. Within the modified theories of gravity, we consider two cases. The first is the f(R) theories of gravity, and the second is curvature squared theories of gravity with an action like S = ∫d4x pg( 116GR + (R)2 + R2 +(R)2). Curvature squared theories of gravity have interesting feautures, most important of which is renormalizability, in contrast with General Relativity. But this advantage, as noted by K.S. Stelle in 1977 comes at... 

    Critique and Survey of Various Formulation of Multiverse Theory

    , Ph.D. Dissertation Sharif University of Technology Masoumi, Saeed (Author) ; Golshani, Mehdi (Supervisor) ; Sheikh Jabbari, Mohammad Mehdi (Supervisor)
    Abstract
    Multiverse scenario has been recently addressed by physicists and they have found it useful in many areas of physics. In this dissertation, I have treated some issues about multiverse such as the kinds of multiverses, the arguments for or against multiverse, areas in which multiverse is introduced, etc. This dissertation has six chapters and an appendix. In the chapter one, some classifications of multiverse is introduced, and also some definitions of the concept of a world is presented. Then, my classification and definition of a multiverse and a world is introduced. In the chapter two, the concept of possible worlds in philosophy and its relationship with multiverse hypothesis is examined.... 

    On Thermodynamics and Phase Space of Near Horizon Extremal Geometries

    , Ph.D. Dissertation Sharif University of Technology Hajian, Kamal (Author) ; Sheikh-Jabbari, Mohammad Mehdi (Supervisor) ; Golshani, Mehdi (Co-Advisor)
    Abstract
    Near Horizon Extremal Geometries (NHEG), are geometries which may appear in the near horizon region of the extremal black holes. These geometries have SL(2;R)U(1)n isometry, and constitute a family of solutions to the theory under consideration. In the first part of this report,their thermodynamic properties are reviewed, and their three universal laws are derived. In addition, at the end of the first part, the role of these laws in black hole thermodynamics is presented. In the second part of this thesis, we review building their classical phase space in the Einstein-Hilbert theory. The elements in the NHEG phase space manifold are built by appropriately chosen coordinate transformations of... 

    Symplectic Symmetries and Their Associated Hilbert Spaces

    , M.Sc. Thesis Sharif University of Technology Asghari Khonakdari, Ghazaleh (Author) ; Sheikh-Jabbari, Mohammad Mehdi (Supervisor) ; Rahvar, Sohrab (Supervisor)
    Abstract
    In every theory with local symmetries, observales are mainly the gauge invariant quantities and fields are defined up to a local transformation.By choosing boundary conditions on field configurations and on the generating functions of gauge transformations, we can associate conserved charges to a particular subset of the generating functions. Thus field combinations which are related by these particular gauge transformations are physically distinct. These set of conserved charges usually form infinite-dimensional algebras such as Virasoro or BMS algebra. In addition, sets of all combinations of the associated fields form a phase space with a symplectic structure induced form the action of... 

    Black Hole Complementarity, An Approach To The Information Problem

    , M.Sc. Thesis Sharif University of Technology Aalipour, Amin (Author) ; Bahmanabadi, Mahmud (Supervisor) ; Sheikh Jabbari, Mohammad Mehdi (Supervisor)
    Abstract
    In this survey we explore the black hole information problem, one of the most challenging issues in theoretical physics over the past few decades. According to the theory of general relativity, black holes can form through gravitational collapse of matter. At semiclassical level, however, black holes emit thermal Hawking-radiation and eventually completely evaporate. After evaporation the radiation state cannot retain all the information about the initial matter that underwent gravitational collapse, contradicting the principles of quantum mechanics. Various approaches have been proposed to address this issue. One such approach is the black hole complementarity principle, introduced by... 

    NHEG mechanics: Laws of near horizon extremal geometry (thermo)dynamics

    , Article Journal of High Energy Physics ; Vol. 2014, issue. 3 , 2014 ; ISSN: 11266708 Hajian, K ; Seraj, A ; Sheikh-Jabbari, M. M ; Sharif University of Technology
    2014
    Abstract
    Near Horizon Extremal Geometries (NHEG) are solutions to gravity theories with SL(2, ℝ) × U(1) N (for some N) symmetry, are smooth geometries and have no event horizon, unlike black holes. Following the ideas by R. M. Wald, we derive laws of NHEG dynamics, the analogs of laws of black hole dynamics for the NHEG. Despite the absence of horizon in the NHEG, one may associate an entropy to the NHEG, as a Noether-Wald conserved charge. We work out "entropy" and "entropy perturbation" laws, which are respectively universal relations between conserved Noether charges corresponding to the NHEG and a system probing the NHEG. Our entropy law is closely related to Sen's entropy function. We also... 

    Dirac quantization of open strings and noncommutativity in branes

    , Article Nuclear Physics B ; Volume 576, Issue 1-3 , 2000 , Pages 578-596 ; 05503213 (ISSN) Ardalan, F ; Arfaei, H ; Sheikh-Jabbari, M. M ; Sharif University of Technology
    Elsevier  2000
    Abstract
    We apply the Dirac bracket quantization to open strings attached to branes in the presence of background antisymmetric field and recover an inherent noncommutativity in the internal coordinates of the brane. © 2000 Elsevier Science B.V. All rights reserved  

    Tachyonic resonance preheating in an expanding universe

    , Article Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 81, Issue 4 , 2010 ; 15507998 (ISSN) Abolhasani, A. A ; Firouzjahi, H ; Sheikh Jabbari, M. M ; Sharif University of Technology
    2010
    Abstract
    In this paper the tachyonic resonance preheating generated from the bosonic trilinear χ2 interactions in an expanding universe is studied. In λ 4/4 inflationary model the trilinear interaction, in contrast to the four-legs 2χ2, breaks the conformal symmetry explicitly and the resonant source term becomes nonperiodic, making the Floquet theorem inapplicable. We find that the occupation number of the produced χ particles has a nonlinear exponential growth with exponent ∼x3/2, where x is the conformal time. This should be contrasted with preheating from a periodic resonant source arising, for example, from the four-legs 2χ2 interaction, where the occupation number has a linear exponential... 

    Extremal rotating black holes in the near-horizon limit: Phase space and symmetry algebra

    , Article Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics ; Volume 749 , October , 2015 , Pages 443-447 ; 03702693 (ISSN) Compère, G ; Hajian, K ; Seraj, A ; Sheikh Jabbari, M. M ; Sharif University of Technology
    Elsevier  2015
    Abstract
    We construct the NHEG phase space, the classical phase space of Near-Horizon Extremal Geometries with fixed angular momenta and entropy, and with the largest symmetry algebra. We focus on vacuum solutions to d dimensional Einstein gravity. Each element in the phase space is a geometry with SL(2,R)×U(1)d-3 isometries which has vanishing SL(2,R) and constant U(1) charges. We construct an on-shell vanishing symplectic structure, which leads to an infinite set of symplectic symmetries. In four spacetime dimensions, the phase space is unique and the symmetry algebra consists of the familiar Virasoro algebra, while in d> 4 dimensions the symmetry algebra, the NHEG algebra, contains infinitely many... 

    Wiggling throat of extremal black holes

    , Article Journal of High Energy Physics ; Volume 2015, Issue 10 , October , 2015 ; 11266708 (ISSN) Compère, G ; Hajian, K ; Seraj, A ; Sheikh Jabbari, M. M ; Sharif University of Technology
    Springer Verlag  2015
    Abstract
    Abstract: We construct the classical phase space of geometries in the near-horizon region of vacuum extremal black holes as announced in [arXiv:1503.07861]. Motivated by the uniqueness theorems for such solutions and for perturbations around them, we build a family of metrics depending upon a single periodic function defined on the torus spanned by the U(1) isometry directions. We show that this set of metrics is equipped with a consistent symplectic structure and hence defines a phase space. The phase space forms a representation of an infinite dimensional algebra of so-called symplectic symmetries. The symmetry algebra is an extension of the Virasoro algebra whose central extension is the... 

    Nearing 11D extremal intersecting giants and new decoupled sectors in D=3, 6 superconformal field theories

    , Article Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 81, Issue 4 , 2010 ; 15507998 (ISSN) Fareghbal, R ; Gowdigere, C. N ; Mosaffa, A. E ; Sheikh Jabbari, M. M ; Sharif University of Technology
    2010
    Abstract
    We extend the analysis of Fareghbal to charged black hole solutions of four-dimensional U(1)4 gauged supergravity which carry three charges. There are two decoupling near-horizon limits, one over the near-Bogomol'nyi-Prasad- Sommerfield (BPS) black hole solution and the other over the near-extremal, but non-BPS geometry. Taking the limit over the 11-dimensional uplift of these black hole solutions, for both of these cases we obtain a geometry which has a piece (conformal) to rotating BTZ×S2. We study the 4D, 11D, and 5D, 3D black hole properties. Moreover, we show that the BTZ×S2 geometry obtained after the near-BPS (near-extremal) limit is also a solution to five-dimensional U(1)3 ungauged... 

    Nearing extremal intersecting giants and new decoupled sectors in N = 4 SYM

    , Article Journal of High Energy Physics ; Volume 2008, Issue 8 , 21 August , 2008 ; 11266708 (ISSN) Fareghbal, R ; Gowdigere, C. N ; Mosaffa, A. E ; Sheikh Jabbari, M. M ; Sharif University of Technology
    2008
    Abstract
    We study near-horizon limits of near-extremal charged black hole solutions to five-dimensional U(1) 3 gauged supergravity carrying two charges, extending the recent work of Balasubramanian et al. [1]. We show that there are two near-horizon decoupling limits for the near-extremal black holes, one corresponding to the near-BPS case and the other for the far from BPS case. Both of these limits are only defined on the 10d IIB uplift of the 5d black holes, resulting in a decoupled geometry with a six-dimensional part (conformal to) a rotating BTZ × S 3. We study various aspects of these decoupling limits both from the gravity side and the dual field theory side. For the latter we argue that... 

    Using Decentralized Approach in Power Plants Preventive Maintenance Scheduling Problem

    , M.Sc. Thesis Sharif University of Technology Jabbari, Arman (Author) ; Modarres Yazdi, Mohammad (Supervisor)
    Abstract
    In this paper, a new method for handling power plants preventive maintenance scheduling problem is proposed in which a decentralized framework is applied in order to help the electricity markets to prevent data sharing. The new approach is the extension of alternating direction method of multipliers (ADMM) along with several heuristics and refinements to omit the effect of non-convexity of the problem. Since, the new methodmerely needs minimal information exchange, it is completely practical. In order to evaluate the performance of the proposed method, a case study based on generating system of Iran is presented. It is shown that the proposed model obtains acceptable results  

    A QoS-Aware Routing Algorithm in Wireless Multimedia Sensor Network Using Cross-Layer Information

    , M.Sc. Thesis Sharif University of Technology Sheikh Bagheri Arjmand, Mehdi (Author) ; Khansari, Mohammad (Supervisor)
    Abstract
    In this thesis, we propose a QoS-aware routing algorithm for multimedia streaming that uses cross-layer information (application layer and physical layer) in Wireless Multimedia Sensor Networks (WMSN). Our goal is to use cross-layer information to route video packets efficiently and deliver a higher quality video in streaming applications. Our QoS-Aware Multi-Path Selection (QAMPS) method is based on multi-path multi-priority selection algorithm that uses Two-Phase geographic Greedy Forwarding (TPGF) as a routing algorithm. The proposed method guarantees QoS by splitting video streams into I-frames, P-frames and B-frames in the application layer and passes them to the network layer for...