Collapse Scenario and Final State of Evaporation for Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity
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| Format: | Preprint |
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2025
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| _version_ | 1866908404636712960 |
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| author | Radovanović, Voja Đorđević, Stefan |
| author_facet | Radovanović, Voja Đorđević, Stefan |
| contents | We study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction in a semiclassical approximation including back-reaction. The reduced action involves the cosmological constant and admits black hole solutions; among these, the solutions of interest are the evaporating black holes. We solve the equations of motion perturbatively by demanding that the initial state geometry is a Minkowski space-time. When the infalling matter intersects the space-time boundary, the black hole forms and begins to evaporate. We find that as the black hole evaporates, its horizon shrinks and at a finite space-time point, it meets the singularity and a shockwave occurs. Along this hypersurface, the metric can be continuously matched to a static end-state geometry. This end-state geometry is Minkowski space-time within the first-order of perturbation theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_09946 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collapse Scenario and Final State of Evaporation for Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity Radovanović, Voja Đorđević, Stefan High Energy Physics - Theory General Relativity and Quantum Cosmology We study a model of (1+1)-dimensional dilaton gravity derived from the four-dimensional Einstein-Hilbert action by dimensional reduction in a semiclassical approximation including back-reaction. The reduced action involves the cosmological constant and admits black hole solutions; among these, the solutions of interest are the evaporating black holes. We solve the equations of motion perturbatively by demanding that the initial state geometry is a Minkowski space-time. When the infalling matter intersects the space-time boundary, the black hole forms and begins to evaporate. We find that as the black hole evaporates, its horizon shrinks and at a finite space-time point, it meets the singularity and a shockwave occurs. Along this hypersurface, the metric can be continuously matched to a static end-state geometry. This end-state geometry is Minkowski space-time within the first-order of perturbation theory. |
| title | Collapse Scenario and Final State of Evaporation for Schwarzschild Black Hole in Dimensionally-Reduced Model of Dilaton Gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.09946 |