Details
| Original language | English |
|---|---|
| Article number | 124031 |
| Number of pages | 17 |
| Journal | Physical Review D |
| Volume | 108 |
| Issue number | 12 |
| Publication status | Published - 14 Dec 2023 |
Abstract
Identifying a general quasilocal 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 quasilocal mass in high-accuracy numerical simulations of the head-on collisions of two nonspinning black holes within full general relativity. We discuss the behavior of the Wang-Yau quasilocal mass on constant expansion surfaces, and we compare its behavior with the irreducible mass. We investigate the time evolution of the Wang-Yau quasilocal mass in numerical examples. In addition, we discuss mathematical subtleties in defining the Wang-Yau mass for marginally trapped surfaces.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 108, No. 12, 124031, 14.12.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Properties of quasilocal mass in binary black hole mergers
AU - Pook-Kolb, Daniel
AU - Zhao, Bowen
AU - Andersson, Lars
AU - Krishnan, Badri
AU - Yau, Shing Tung
PY - 2023/12/14
Y1 - 2023/12/14
N2 - Identifying a general quasilocal 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 quasilocal mass in high-accuracy numerical simulations of the head-on collisions of two nonspinning black holes within full general relativity. We discuss the behavior of the Wang-Yau quasilocal mass on constant expansion surfaces, and we compare its behavior with the irreducible mass. We investigate the time evolution of the Wang-Yau quasilocal mass in numerical examples. In addition, we discuss mathematical subtleties in defining the Wang-Yau mass for marginally trapped surfaces.
AB - Identifying a general quasilocal 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 quasilocal mass in high-accuracy numerical simulations of the head-on collisions of two nonspinning black holes within full general relativity. We discuss the behavior of the Wang-Yau quasilocal mass on constant expansion surfaces, and we compare its behavior with the irreducible mass. We investigate the time evolution of the Wang-Yau quasilocal mass in numerical examples. In addition, we discuss mathematical subtleties in defining the Wang-Yau mass for marginally trapped surfaces.
UR - http://www.scopus.com/inward/record.url?scp=85180348176&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2308.10906
DO - 10.48550/arXiv.2308.10906
M3 - Article
AN - SCOPUS:85180348176
VL - 108
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 12
M1 - 124031
ER -