Foliation dependence of black hole apparent horizons in spherical symmetry

被引：50

作者：

Faraoni, Valerio ^{[1
,2
]}

Ellis, George F. R. ^{[3
]}

Firouzjaee, Javad T. ^{[4
,5
]}

Helou, Alexis ^{[6
]}

Musco, Ilia ^{[7
]}

机构：

[1] Bishops Univ, Phys Dept, 2600 Coll St, Sherbrooke, PQ J1M 1Z7, Canada

[2] Bishops Univ, STAR Res Cluster, 2600 Coll St, Sherbrooke, PQ J1M 1Z7, Canada

[3] Univ Cape Town, Math & Appl Math Dept, ZA-7701 Cape Town, South Africa

[4] Inst Res Fundamental Sci IPM, Sch Astron, POB 19395-5531, Tehran, Iran

[5] Univ Oxford, Dept Phys Astrophys, Keble Rd, Oxford OX1 3RH, England

[6] Ludwig Maximilians Univ Munchen, Arnold Sommerfeld Ctr, Theresienstr 37, D-80333 Munich, Germany

[7] Univ Paris Diderot, Observatoire Paris, Lab Univ & Theories, UMR CNRS 8102, 5 Pl Jules Janssen, F-92190 Meudon, France

来源：

PHYSICAL REVIEW D | 2017年 / 95卷 / 02期

基金：

欧洲研究理事会;

关键词：

ENERGY; EVENT; COORDINATE; RADIATION;

D O I：

10.1103/PhysRevD.95.024008

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Numerical studies of gravitational collapse to black holes make use of apparent horizons, which are intrinsically foliation dependent. We expose the problem and discuss possible solutions using the Hawking-Hayward quasilocal mass. In spherical symmetry, we present a physically sensible approach to the problem by restricting to spherically symmetric spacetime slicings. In spherical symmetry, the apparent horizons enjoy a restricted gauge independence in any spherically symmetric foliation, but physical quantities associated with them, such as surface gravity and temperature, are fully gauge dependent. The widely used comoving and Kodama foliations, which are of particular interest, are discussed in detail as examples.

引用

页数：11

共 48 条

[1] Observation of Gravitational Waves from a Binary Black Hole Merger [J].

Abbott, B. P. ;

Abbott, R. ;

Abbott, T. D. ;

Abernathy, M. R. ;

Acernese, F. ;

Ackley, K. ;

Adams, C. ;

Adams, T. ;

Addesso, P. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Allen, B. ;

Allocca, A. ;

Altin, P. A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Arai, K. ;

Arain, M. A. ;

Araya, M. C. ;

Arceneaux, C. C. ;

Areeda, J. S. ;

Arnaud, N. ;

Arun, K. G. ;

Ascenzi, S. ;

Ashton, G. ;

Ast, M. ;

Aston, S. M. ;

Astone, P. ;

Aufmuth, P. ;

Aulbert, C. ;

Babak, S. ;

Bacon, P. ;

Bader, M. K. M. ;

Baker, P. T. ;

Baldaccini, F. ;

Ballardin, G. ;

Ballmer, S. W. ;

Barayoga, J. C. ;

Barclay, S. E. ;

Barish, B. C. ;

Barker, D. ;

Barone, F. .

PHYSICAL REVIEW LETTERS, 2016, 116 (06)

[2] Binary Black Hole Mergers in the First Advanced LIGO Observing Run [J].

Abbott, B. P. ;

Abbott, R. ;

Abbott, T. D. ;

Abernathy, M. R. ;

Acernese, F. ;

Ackley, K. ;

Adams, C. ;

Adams, T. ;

Addesso, P. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Allen, B. ;

Allocca, A. ;

Altin, P. A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Arai, K. ;

Araya, M. C. ;

Arceneaux, C. C. ;

Areeda, J. S. ;

Arnaud, N. ;

Arun, K. G. ;

Ascenzi, S. ;

Ashton, G. ;

Ast, M. ;

Aston, S. M. ;

Astone, P. ;

Aufmuth, P. ;

Aulbert, C. ;

Babak, S. ;

Bacon, P. ;

Bader, M. K. M. ;

Baker, P. T. ;

Baldaccini, F. ;

Ballardin, G. ;

Ballmer, S. W. ;

Barayoga, J. C. ;

Barclay, S. E. ;

Barish, B. C. ;

Barker, D. ;

Barone, F. ;

Barr, B. .

PHYSICAL REVIEW X, 2016, 6 (04)

[3] Kodama time: Geometrically preferred foliations of spherically symmetric spacetimes [J].

Abreu, Gabriel ;

Visser, Matt .

PHYSICAL REVIEW D, 2010, 82 (04)

[4] Hawking radiation as tunneling for extremal and rotating black holes [J].

Angheben, M ;

Nadalini, M ;

Vanzo, L ;

Zerbini, S .

JOURNAL OF HIGH ENERGY PHYSICS, 2005, (05) :274-291

[5]

[Anonymous], ARXIV150204235

[6]

[Anonymous], ARXIV160105109

[7]

[Anonymous], 2004, RELATIVISTS TOOLKIT

[8] Dynamical horizons and their properties [J].

Ashtekar, A ;

Krishnan, B .

PHYSICAL REVIEW D, 2003, 68 (10)

[9]

Ashtekar A, 2005, ADV THEOR MATH PHYS, V9, P1

[10] Numerical relativity and compact binaries [J].

Baumgarte, TW ;

Shapiro, SL .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2003, 376 (02) :41-131

← 1 2 3 4 5 →