Regular Spacetimes in the Effective Metric Description
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912430060208128 |
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| author | Paciarini, Mattia Damia Myszkowski, Mikołaj Sannino, Francesco Vellucci, Vania |
| author_facet | Paciarini, Mattia Damia Myszkowski, Mikołaj Sannino, Francesco Vellucci, Vania |
| contents | Over the past few decades, significant effort has been directed towards developing various regularized models for compact objects. Recently, a new observable-based parametrization was introduced to account for black hole deformations in a model-independent fashion, referred to as the Effective Metric Description (EMD) \cite{Binetti:2022xdi, DelPiano:2023fiw, DelPiano:2024gvw, DelPiano:2024nrl}. In this paper, we carry out a systematic investigation of the regularity of static and spherically symmetric spacetimes by extending the EMD. We derive the conditions under which curvature scalars remain finite everywhere and the associated spacetime is geodesically complete. Our results are then used to classify the cores of regular spacetimes based on their asymptotic behavior near the origin. To illustrate our findings, we apply our regularity conditions to known black hole examples. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_12620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regular Spacetimes in the Effective Metric Description Paciarini, Mattia Damia Myszkowski, Mikołaj Sannino, Francesco Vellucci, Vania General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Over the past few decades, significant effort has been directed towards developing various regularized models for compact objects. Recently, a new observable-based parametrization was introduced to account for black hole deformations in a model-independent fashion, referred to as the Effective Metric Description (EMD) \cite{Binetti:2022xdi, DelPiano:2023fiw, DelPiano:2024gvw, DelPiano:2024nrl}. In this paper, we carry out a systematic investigation of the regularity of static and spherically symmetric spacetimes by extending the EMD. We derive the conditions under which curvature scalars remain finite everywhere and the associated spacetime is geodesically complete. Our results are then used to classify the cores of regular spacetimes based on their asymptotic behavior near the origin. To illustrate our findings, we apply our regularity conditions to known black hole examples. |
| title | Regular Spacetimes in the Effective Metric Description |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2506.12620 |