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Journal Article

Properties of quasilocal mass in binary black hole mergers

MPS-Authors
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Pook-Kolb,  Daniel
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Krishnan,  Badri
Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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2308.10906.pdf
(Preprint), 2MB

PhysRevD.108.124031.pdf
(Publisher version), 2MB

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Citation

Pook-Kolb, D., Zhao, B., Andersson, L., Krishnan, B., & Yau, S.-T. (2023). Properties of quasilocal mass in binary black hole mergers. Physical Review D, 108(12): 124031. doi:10.1103/PhysRevD.108.124031.


Cite as: https://hdl.handle.net/21.11116/0000-000E-3D4F-7
Abstract
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.