A conservative solution to the Singularity Problem in Classical GR
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918191357231104 |
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| author | Bachhawat, Nikhil |
| author_facet | Bachhawat, Nikhil |
| contents | We present a conservative approach to the black hole singularity problem that remains within the framework of classical General Relativity (GR) supplemented by semiclassical quantum field theory (QFT). Our construction replaces the singular interior of a black hole with a null characteristic hypersurface that carries the exterior ADM data. The excised singular interior is replaced by a conformally flat bubble manifold. We assume the characteristic data on $Σ$ are shear-quiet (vanishing Bondi news and shear to leading order) so that the initial development is conformally flat (Weyl = 0) over an early epoch. We further posit that the ingoing Hawking radiation flux provides statistically isotropic initial conditions on the bubble boundary, seeding a nearly FLRW-like epoch without first undergoing exponential inflation. The overall framework is consistent with the generalized second law of thermodynamics and offers a possible resolution of the singularity problem without invoking a full theory of quantum gravity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_21835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A conservative solution to the Singularity Problem in Classical GR Bachhawat, Nikhil General Relativity and Quantum Cosmology High Energy Physics - Theory We present a conservative approach to the black hole singularity problem that remains within the framework of classical General Relativity (GR) supplemented by semiclassical quantum field theory (QFT). Our construction replaces the singular interior of a black hole with a null characteristic hypersurface that carries the exterior ADM data. The excised singular interior is replaced by a conformally flat bubble manifold. We assume the characteristic data on $Σ$ are shear-quiet (vanishing Bondi news and shear to leading order) so that the initial development is conformally flat (Weyl = 0) over an early epoch. We further posit that the ingoing Hawking radiation flux provides statistically isotropic initial conditions on the bubble boundary, seeding a nearly FLRW-like epoch without first undergoing exponential inflation. The overall framework is consistent with the generalized second law of thermodynamics and offers a possible resolution of the singularity problem without invoking a full theory of quantum gravity. |
| title | A conservative solution to the Singularity Problem in Classical GR |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2503.21835 |