Numerical relativity for Horndeski gravity

被引：22
作者：
Ripley, Justin L. [1 ,2 ,3 ]
机构：
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
[2] Univ Illinois, Illinois Ctr Adv Studies Universe, Urbana, IL 61801 USA
[3] Univ Illinois, Dept Phys, Urbana, IL 61801 USA
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2022年 / 31卷 / 13期
关键词：
Numerical relativity; black holes; modified gravity; RENORMALIZATION-GROUP METHOD; WELL-POSED FORMULATION; BRANS-DICKE THEORY; BLACK-HOLES; GRAVITATIONAL COLLAPSE; GENERAL-RELATIVITY; INITIAL DATA; SCALAR; THERMODYNAMICS; EQUATIONS;
D O I：
10.1142/S0218271822300178
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In this paper, we present an overview of recent developments in the numerical solution of Horndeski gravity theories, which are the class of all scalar-tensor theories of gravity that have second-order equations of motion. We review several methods that have been used to establish well-posed initial value problems for these theories, and discuss well-posed formulations of the constraint equations. We also discuss global aspects of exact, strongly coupled solutions to some of the Horndeski gravity theories: the formation of shocks, the loss of hyperbolicity, and the formation of naked curvature singularities. Finally, we discuss numerical solutions to binary black hole and neutron star systems for several Horndeski theories.
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页数：53
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共 212 条
  • [1] Tests of General Relativity with GW150914
    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.
    [J]. PHYSICAL REVIEW LETTERS, 2016, 116 (22)
  • [2] GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
    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.
    [J]. PHYSICAL REVIEW LETTERS, 2016, 116 (13)
  • [3] Tests of general relativity with the binary black hole signals from the LIGO-Virgo catalog GWTC-1
    Abbott, B. P.
    Abbott, R.
    Abbott, T. D.
    Abraham, S.
    Acernese, F.
    Ackley, K.
    Adams, C.
    Adhikari, R. X.
    Adya, V. B.
    Affeldt, C.
    Agathos, M.
    Agatsuma, K.
    Aggarwal, N.
    Aguiar, O. D.
    Aiello, L.
    Ain, A.
    Ajith, P.
    Allen, G.
    Allocca, A.
    Aloy, M. A.
    Altin, P. A.
    Amato, A.
    Ananyeva, A.
    Anderson, S. B.
    Anderson, W. G.
    Angelova, S. V.
    Antier, S.
    Appert, S.
    Arai, K.
    Araya, M. C.
    Areeda, J. S.
    Arene, M.
    Arnaud, N.
    Arun, K. G.
    Ascenzi, S.
    Ashton, G.
    Aston, S. M.
    Astone, P.
    Aubin, F.
    Aufmuth, P.
    AultONeal, K.
    Austin, C.
    Avendano, V.
    Avila-Alvarez, A.
    Babak, S.
    Bacon, P.
    Badaracco, F.
    Bader, M. K. M.
    Bae, S.
    Baker, P. T.
    [J]. PHYSICAL REVIEW D, 2019, 100 (10)
  • [4] GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
    Abbott, B. P.
    Abbott, R.
    Abbott, T. D.
    Acernese, F.
    Ackley, K.
    Adams, C.
    Adams, T.
    Addesso, P.
    Adhikari, R. X.
    Adya, V. B.
    Affeldt, C.
    Afrough, M.
    Agarwal, B.
    Agathos, M.
    Agatsuma, K.
    Aggarwal, N.
    Aguiar, O. D.
    Aiello, L.
    Ain, A.
    Ajith, P.
    Allen, B.
    Allen, G.
    Allocca, A.
    Altin, P. A.
    Amato, A.
    Ananyeva, A.
    Anderson, S. B.
    Anderson, W. G.
    Angelova, S. V.
    Antier, S.
    Appert, S.
    Arai, K.
    Araya, M. C.
    Areeda, J. S.
    Arnaud, N.
    Arun, K. G.
    Ascenzi, S.
    Ashton, G.
    Ast, M.
    Aston, S. M.
    Astone, P.
    Atallah, D. V.
    Aufmuth, P.
    Aulbert, C.
    AultONeal, K.
    Austin, C.
    Avila-Alvarez, A.
    Babak, S.
    Bacon, P.
    Bader, M. K. M.
    [J]. PHYSICAL REVIEW LETTERS, 2017, 119 (16)
  • [5] Tests of general relativity with binary black holes from the second LIGO-Virgo gravitational-wave transient catalog
    Abbott, R.
    Abbott, T. D.
    Abraham, S.
    Acernese, F.
    Ackley, K.
    Adams, A.
    Adams, C.
    Adhikari, R. X.
    Adya, V. B.
    Affeldt, C.
    Agathos, M.
    Agatsuma, K.
    Aggarwal, N.
    Aguiar, O. D.
    Aiello, L.
    Ain, A.
    Ajith, P.
    Akcay, S.
    Allen, G.
    Allocca, A.
    Altin, P. A.
    Amato, A.
    Anand, S.
    Ananyeva, A.
    Anderson, S. B.
    Anderson, W. G.
    Angelova, S., V
    Ansoldi, S.
    Antelis, J. M.
    Antier, S.
    Appert, S.
    Arai, K.
    Araya, M. C.
    Areeda, J. S.
    Arene, M.
    Arnaud, N.
    Aronson, S. M.
    Arun, K. G.
    Asali, Y.
    Ascenzi, S.
    Ashton, G.
    Aston, S. M.
    Astone, P.
    Aubin, F.
    Aufmuth, P.
    AultONeal, K.
    Austin, C.
    Avendano, V
    Babak, S.
    Badaracco, F.
    [J]. PHYSICAL REVIEW D, 2021, 103 (12)
  • [6] Gravitational collapse of k-essence
    Akhoury, Ratindranath
    Garfinkle, David
    Saotome, Ryo
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2011, (04):
  • [7] Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks
    Alcubierre, M
    [J]. CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (04) : 607 - 623
  • [8] Pathologies of hyperbolic gauges in general relativity and other field theories
    Alcubierre, M
    Masso, J
    [J]. PHYSICAL REVIEW D, 1998, 57 (08): : R4511 - R4515
  • [9] Appearance of coordinate shocks in hyperbolic formalisms of general relativity
    Alcubierre, M
    [J]. PHYSICAL REVIEW D, 1997, 55 (10): : 5981 - 5991
  • [10] Alcubierre M., 2008, Introduction to 3+1 Numerical Relativity
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