Properties of Quasi-local mass in binary black hole mergers
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866909980316139520 |
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| author | Pook-Kolb, Daniel Zhao, Bowen Andersson, Lars Krishnan, Badri Yau, Shing-Tung |
| author_facet | Pook-Kolb, Daniel Zhao, Bowen Andersson, Lars Krishnan, Badri Yau, Shing-Tung |
| contents | Identifying a general quasi-local notion of energy-momentum and angular momentum would be an important advance in general relativity with potentially important consequences for mathematical and astrophysical studies in general relativity. In this paper we study a promising approach to this problem first proposed by Wang and Yau in 2009 based on isometric embeddings of closed surfaces in Minkowski space. We study the properties of the Wang-Yau quasi-local mass in high accuracy numerical simulations of the head-on collisions of two non-spinning black holes within full general relativity. We discuss the behavior of the Wang-Yau quasi-local mass on constant expansion surfaces and we compare its behavior with the irreducible mass. We investigate the time evolution of the Wang-Yau Quasi-local mass in numerical examples. In addition we discuss mathematical subtleties in defining the Wang-Yau mass for marginally trapped surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_10906 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Properties of Quasi-local mass in binary black hole mergers Pook-Kolb, Daniel Zhao, Bowen Andersson, Lars Krishnan, Badri Yau, Shing-Tung General Relativity and Quantum Cosmology Identifying a general quasi-local notion of energy-momentum and angular momentum would be an important advance in general relativity with potentially important consequences for mathematical and astrophysical studies in general relativity. In this paper we study a promising approach to this problem first proposed by Wang and Yau in 2009 based on isometric embeddings of closed surfaces in Minkowski space. We study the properties of the Wang-Yau quasi-local mass in high accuracy numerical simulations of the head-on collisions of two non-spinning black holes within full general relativity. We discuss the behavior of the Wang-Yau quasi-local mass on constant expansion surfaces and we compare its behavior with the irreducible mass. We investigate the time evolution of the Wang-Yau Quasi-local mass in numerical examples. In addition we discuss mathematical subtleties in defining the Wang-Yau mass for marginally trapped surfaces. |
| title | Properties of Quasi-local mass in binary black hole mergers |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.10906 |