Stability conditions for the Horndeski scalar field gravity model

被引：3

作者：

Gomes, C. ^{[1
,2
,3
]}

Bertolami, O. ^{[2
,3
,4
]}

机构：

[1] Univ Acores, Fac Ciencias & Tecnol, Dept Ciencias Fis Quim & Engn, Campus Ponta Delgada,Rua Mae de Deus, P-9500321 Ponta Delgada, Portugal

[2] Univ Minho, Ctr Fis, Braga, Portugal

[3] Univ Porto, Ctr Fis, Rua Campo Alegre S-N, P-4169007 Porto, Portugal

[4] Univ Porto, Fac Ciencias, Dept Fis & Astron, Rua Campo Alegre S-N, P-4169007 Porto, Portugal

来源：

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS | 2022年 / 04期

关键词：

gravity; modified gravity; POSITIVE ENERGY; PROOF; TENSOR;

D O I：

10.1088/1475-7516/2022/04/008

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function G(3)(phi, X) in the Lagrangian is constrained to be a function solely of the scalar field, G(3)(phi), and relations among the free functions are found. Other criterion for stability are also analysed, such as the attractiveness of gravity, and the Dolgov-Kawasacki instability. Some applications for cosmology are discussed.

引用

页数：12

共 42 条

[1] Gravitational Waves and Gamma-Rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A [J].

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. ;

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. ;

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. .

ASTROPHYSICAL JOURNAL LETTERS, 2017, 848 (02)

[2] Planck 2018 results: X. Constraints on inflation [J].

Akrami, Y. ;

Arroja, F. ;

Ashdown, M. ;

Aumont, J. ;

Baccigalupi, C. ;

Ballardini, M. ;

Banday, A. J. ;

Barreiro, R. B. ;

Bartolo, N. ;

Basak, S. ;

Benabed, K. ;

Bernard, J. -P. ;

Bersanelli, M. ;

Bielewicz, P. ;

Bock, J. J. ;

Bond, J. R. ;

Borrill, J. ;

Bouchet, F. R. ;

Boulanger, F. ;

Bucher, M. ;

Burigana, C. ;

Butler, R. C. ;

Calabrese, E. ;

Cardoso, J. -F. ;

Carron, J. ;

Challinor, A. ;

Chiang, H. C. ;

Colombo, L. P. L. ;

Combet, C. ;

Contreras, D. ;

Crill, B. P. ;

Cuttaia, F. ;

de Bernardis, P. ;

de Zotti, G. ;

Delabrouille, J. ;

Delouis, J. -M. ;

Di Valentino, E. ;

Diego, J. M. ;

Donzelli, S. ;

Dore, O. ;

Douspis, M. ;

Ducout, A. ;

Dupac, X. ;

Dusini, S. ;

Efstathiou, G. ;

Elsner, F. ;

Ensslin, T. A. ;

Eriksen, H. K. ;

Fantaye, Y. ;

Fergusson, J. .

ASTRONOMY & ASTROPHYSICS, 2020, 641

[3] Post-Newtonian limit of teleparallel Horndeski gravity [J].

Bahamonde, Sebastian ;

Dialektopoulos, Konstantinos F. ;

Hohmann, Manuel ;

Said, Jackson Levi .

CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (02)

[4] Reviving Horndeski theory using teleparallel gravity after GW170817 [J].

Bahamonde, Sebastian ;

Dialektopoulos, Konstantinos F. ;

Gakis, Viktor ;

Said, Jackson Levi .

PHYSICAL REVIEW D, 2020, 101 (08)

[5] Can Horndeski theory be recast using teleparallel gravity? [J].

Bahamonde, Sebastian ;

Dialektopoulos, Konstantinos F. ;

Said, Jackson Levi .

PHYSICAL REVIEW D, 2019, 100 (06)

[6] Strong Constraints on Cosmological Gravity from GW170817 and GRB 170817A [J].

Baker, T. ;

Bellini, E. ;

Ferreira, P. G. ;

Lagos, M. ;

Noller, J. ;

Sawicki, I. .

PHYSICAL REVIEW LETTERS, 2017, 119 (25)

[7] STABILITY CONDITIONS FOR A SCALAR FIELD COUPLED NONMINIMALLY WITH GRAVITY [J].

BERTOLAMI, O .

PHYSICS LETTERS B, 1987, 186 (02) :161-166

[8] Extra force in f(R) modified theories of gravity [J].

Bertolami, Orfeu ;

Bohmer, Christian G. ;

Harko, Tiberiu ;

Lobo, Francisco S. N. .

PHYSICAL REVIEW D, 2007, 75 (10)

[9] Gravitational waves in theories with a non-minimal curvature-matter coupling [J].

Bertolami, Orfeu ;

Gomes, Claudio ;

Lobo, Francisco S. N. .

EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (04)

[10]

Bertolami O, 2014, SPRINGER HANDBOOK OF SPACETIME, P463

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