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Study of Gravitational Collapse and Background Quantum Corrections on the Space-time of Collapsing Sphere

Noorikuhani, Milad | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 48615 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Arfaei, Hessamaddin
  7. Abstract:
  8. In this thesis we first discuss the final fate of a spherical symmetric distribution of matter which has undergone a gravitational collapse, by reviewing some classical collapse models. Our emphasis will be on the visibility of singularity after it forms. Then we will mention some general aspects of quantum field theories in curved space-time and after that we investigate the quantum background effects on the evolution of a spherical symmetric and homogeneous distribution of dust. In fact by calculating the quantum corrections—due to massless scalar fields which are arbitrarily coupled to the background geometry— on the geometry of collapsing sphere, one can obtain the quantum corrected metric of exterior space-time of the collapsing sphere plus the induced quantum energy density in the ineterior space-time. After doing so, we will show that quantum effects can impose repulsive Casimir force which can prevent the continuation of collapse and cause a static situation for the dust sphere; consequently do not allow the singularity to form. By matching the interior and exterior geometries, we show that the static phase is achieved after the dust sphere has formed a black hole. This leads to a black hole without singularity due to quantum effects
  9. Keywords:
  10. Black Holles ; Singularity ; Quantum Corrections ; Gravitational Collapse ; Quantum Corrections on Space - Time ; Corrections on Horizon

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