A new class of semiclassical gravity solutions, gravitational quantum stealths and regular Cauchy horizons
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908677926027264 |
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| author | Juárez-Aubry, Benito A. |
| author_facet | Juárez-Aubry, Benito A. |
| contents | We consider semiclassical gravity with a Klein-Gordon field with mass $m^2 \geq 0$ and curvature coupling $ξ= 1/2$. We identify a special class of Hadamard two-point functions for which the semiclassical system is quasi-linear hyperbolic and, within this class, provide the first well-posedness result for semiclassical gravity without spacetime symmetries. These two-point functions yield stress-energy expectation values proportional to the spacetime metric (modulo ambiguities). If the proportionality constant vanishes, one has a quantum version of gravitational `stealth' configurations. We discuss that some of these solutions have regular Cauchy horizons in the light of strong cosmic censorship. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08402 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new class of semiclassical gravity solutions, gravitational quantum stealths and regular Cauchy horizons Juárez-Aubry, Benito A. General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics We consider semiclassical gravity with a Klein-Gordon field with mass $m^2 \geq 0$ and curvature coupling $ξ= 1/2$. We identify a special class of Hadamard two-point functions for which the semiclassical system is quasi-linear hyperbolic and, within this class, provide the first well-posedness result for semiclassical gravity without spacetime symmetries. These two-point functions yield stress-energy expectation values proportional to the spacetime metric (modulo ambiguities). If the proportionality constant vanishes, one has a quantum version of gravitational `stealth' configurations. We discuss that some of these solutions have regular Cauchy horizons in the light of strong cosmic censorship. |
| title | A new class of semiclassical gravity solutions, gravitational quantum stealths and regular Cauchy horizons |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2412.08402 |