Quantum-Gravitational Null Raychaudhuri Equation
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866914887642382336 |
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| author | Bak, Sang-Eon Parikh, Maulik Sarkar, Sudipta Setti, Francesco |
| author_facet | Bak, Sang-Eon Parikh, Maulik Sarkar, Sudipta Setti, Francesco |
| contents | We consider a congruence of null geodesics in the presence of a quantized spacetime metric. The coupling to a quantum metric induces fluctuations in the congruence; we calculate the change in the area of a pencil of geodesics induced by such fluctuations. For the gravitational field in its vacuum state, we find that quantum gravity contributes a correction to the null Raychaudhuri equation which is of the same sign as the classical terms. We thus derive a quantum-gravitational focusing theorem valid for linearized quantum gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17214 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum-Gravitational Null Raychaudhuri Equation Bak, Sang-Eon Parikh, Maulik Sarkar, Sudipta Setti, Francesco General Relativity and Quantum Cosmology High Energy Physics - Theory We consider a congruence of null geodesics in the presence of a quantized spacetime metric. The coupling to a quantum metric induces fluctuations in the congruence; we calculate the change in the area of a pencil of geodesics induced by such fluctuations. For the gravitational field in its vacuum state, we find that quantum gravity contributes a correction to the null Raychaudhuri equation which is of the same sign as the classical terms. We thus derive a quantum-gravitational focusing theorem valid for linearized quantum gravity. |
| title | Quantum-Gravitational Null Raychaudhuri Equation |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2312.17214 |