Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914802996084736 |
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| author | Capozziello, Salvatore De Bianchi, Silvia Battista, Emmanuele |
| author_facet | Capozziello, Salvatore De Bianchi, Silvia Battista, Emmanuele |
| contents | We investigate a Schwarzschild metric exhibiting a signature change across the event horizon, which gives rise to what we term a Lorentzian-Euclidean black hole. The resulting geometry is regularized by employing the Hadamard partie finie technique, which allows us to prove that the metric represents a solution of vacuum Einstein equations. In this framework, we introduce the concept of atemporality as the dynamical mechanism responsible for the transition from a regime with a real-valued time variable to a new one featuring an imaginary time. We show that this mechanism prevents the occurrence of the singularity and, by means of the regularized Kretschmann invariant, we discuss in which terms atemporality can be considered as the characteristic feature of this black hole. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_17267 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality Capozziello, Salvatore De Bianchi, Silvia Battista, Emmanuele General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We investigate a Schwarzschild metric exhibiting a signature change across the event horizon, which gives rise to what we term a Lorentzian-Euclidean black hole. The resulting geometry is regularized by employing the Hadamard partie finie technique, which allows us to prove that the metric represents a solution of vacuum Einstein equations. In this framework, we introduce the concept of atemporality as the dynamical mechanism responsible for the transition from a regime with a real-valued time variable to a new one featuring an imaginary time. We show that this mechanism prevents the occurrence of the singularity and, by means of the regularized Kretschmann invariant, we discuss in which terms atemporality can be considered as the characteristic feature of this black hole. |
| title | Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.17267 |