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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.10168 |
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| _version_ | 1866912942267564032 |
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| author | Zhang, Cong Lewandowski, Jerzy Ma, Yongge Yang, Jinsong |
| author_facet | Zhang, Cong Lewandowski, Jerzy Ma, Yongge Yang, Jinsong |
| contents | The longstanding issue of general covariance in effective models of quantum gravity is addressed, which arises when canonical quantum gravity leads to a semiclassical model described by an effective Hamiltonian constraint. In the context of spherically symmetric models, general covariance is precisely formulated into a set of equations, leading to the necessary and sufficient conditions for ensuring covariance. With the aid of these conditions, we derive the equations for the effective Hamiltonian constraint. The equations yield two candidates for effective Hamiltonian constraints dependent on a quantum parameter. The resulting quantum modified black hole spacetimes are analyzed. Our models show improvement by casting off the known limitations of previous works with similar results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Black Holes and Covariance in Effective Quantum Gravity Zhang, Cong Lewandowski, Jerzy Ma, Yongge Yang, Jinsong General Relativity and Quantum Cosmology The longstanding issue of general covariance in effective models of quantum gravity is addressed, which arises when canonical quantum gravity leads to a semiclassical model described by an effective Hamiltonian constraint. In the context of spherically symmetric models, general covariance is precisely formulated into a set of equations, leading to the necessary and sufficient conditions for ensuring covariance. With the aid of these conditions, we derive the equations for the effective Hamiltonian constraint. The equations yield two candidates for effective Hamiltonian constraints dependent on a quantum parameter. The resulting quantum modified black hole spacetimes are analyzed. Our models show improvement by casting off the known limitations of previous works with similar results. |
| title | Black Holes and Covariance in Effective Quantum Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.10168 |