() Theories

Overview

Journal Living Rev Relativ

Date 2017 Feb 10

PMID 28179828

Citations 28

Authors

Antonio De Felice

Shinji Tsujikawa

Affiliations

Soon will be listed here.

Abstract

Over the past decade, () theories have been extensively studied as one of the simplest modifications to General Relativity. In this article we review various applications of () theories to cosmology and gravity - such as inflation, dark energy, local gravity constraints, cosmological perturbations, and spherically symmetric solutions in weak and strong gravitational backgrounds. We present a number of ways to distinguish those theories from General Relativity observationally and experimentally. We also discuss the extension to other modified gravity theories such as Brans-Dicke theory and Gauss-Bonnet gravity, and address models that can satisfy both cosmological and local gravity constraints.

Citing Articles

The Tolman-Ehrenfest criterion of thermal equilibrium in scalar-tensor gravity.

Karolinski N, Faraoni V Eur Phys J C Part Fields. 2024; 84(12):1248.

PMID: 39634032 PMC: 11611942. DOI: 10.1140/epjc/s10052-024-13632-6.

Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity.

Giardino S, Giusti A, Faraoni V Eur Phys J C Part Fields. 2023; 83(7):621.

PMID: 37461747 PMC: 10349768. DOI: 10.1140/epjc/s10052-023-11697-3.

More on the first-order thermodynamics of scalar-tensor and Horndeski gravity.

Faraoni V, Houle J Eur Phys J C Part Fields. 2023; 83(6):521.

PMID: 37351520 PMC: 10281912. DOI: 10.1140/epjc/s10052-023-11712-7.

Properties of Spherically Symmetric Black Holes in the Generalized Brans-Dicke Modified Gravitational Theory.

Xu M, Lu J, Yang S, Jiang H Entropy (Basel). 2023; 25(5).

PMID: 37238569 PMC: 10217084. DOI: 10.3390/e25050814.

The dominating mode of two competing massive modes of quadratic gravity.

Chowdhury A, Xavier S, Shankaranarayanan S Sci Rep. 2023; 13(1):8547.

PMID: 37237100 PMC: 10220037. DOI: 10.1038/s41598-023-34802-8.

References

Damour T, Piazza F, Veneziano G . Runaway dilaton and equivalence principle violations. Phys Rev Lett. 2002; 89(8):081601. DOI: 10.1103/PhysRevLett.89.081601. View

Ford . Cosmological-constant damping by unstable scalar fields. Phys Rev D Part Fields. 1987; 35(8):2339-2344. DOI: 10.1103/physrevd.35.2339. View

Hindawi , Ovrut , Waldram . Nontrivial vacua in higher-derivative gravitation. Phys Rev D Part Fields. 1996; 53(10):5597-5608. DOI: 10.1103/physrevd.53.5597. View

BOISSEAU , Polarski , Starobinsky . Reconstruction of a scalar-tensor theory of gravity in an accelerating universe. Phys Rev Lett. 2000; 85(11):2236-9. DOI: 10.1103/PhysRevLett.85.2236. View

Zhao G, Pogosian L, Silvestri A, Zylberberg J . Cosmological tests of general relativity with future tomographic surveys. Phys Rev Lett. 2010; 103(24):241301. DOI: 10.1103/PhysRevLett.103.241301. View

de la Cruz-Dombriz A, Dobado A, Maroto A . Comment on "Viable singularity-free f(R) gravity without a cosmological constant". Phys Rev Lett. 2009; 103(17):179001. DOI: 10.1103/PhysRevLett.103.179001. View

Frolov A . Singularity problem with f(R) models for dark energy. Phys Rev Lett. 2008; 101(6):061103. DOI: 10.1103/PhysRevLett.101.061103. View

Wands . Constraints from inflation on scalar-tensor gravity theories. Phys Rev D Part Fields. 1995; 52(12):6739-6749. DOI: 10.1103/physrevd.52.6739. View

Martin J, Schimd C, Uzan J . Testing for w < -1 in the solar system. Phys Rev Lett. 2006; 96(6):061303. DOI: 10.1103/PhysRevLett.96.061303. View

10.

Davoudiasl H, Kitano R, Kribs G, Murayama H, Steinhardt P . Gravitational baryogenesis. Phys Rev Lett. 2004; 93(20):201301. DOI: 10.1103/PhysRevLett.93.201301. View

11.

Traschen , Brandenberger . Particle production during out-of-equilibrium phase transitions. Phys Rev D Part Fields. 1990; 42(8):2491-2504. DOI: 10.1103/physrevd.42.2491. View

12.

Hayward . General laws of black-hole dynamics. Phys Rev D Part Fields. 1994; 49(12):6467-6474. DOI: 10.1103/physrevd.49.6467. View

13.

Mijic , Morris , Suen . The R2 cosmology: Inflation without a phase transition. Phys Rev D Part Fields. 1986; 34(10):2934-2946. DOI: 10.1103/physrevd.34.2934. View

14.

Jacobson . Thermodynamics of spacetime: The Einstein equation of state. Phys Rev Lett. 1995; 75(7):1260-1263. DOI: 10.1103/PhysRevLett.75.1260. View

15.

Maartens R . Brane-World Gravity. Living Rev Relativ. 2017; 7(1):7. PMC: 5255527. DOI: 10.12942/lrr-2004-7. View

16.

Liddle A, Urena-Lopez L . Inflation, dark matter, and dark energy in the string landscape. Phys Rev Lett. 2006; 97(16):161301. DOI: 10.1103/PhysRevLett.97.161301. View

17.

Horava P . Spectral dimension of the universe in quantum gravity at a lifshitz point. Phys Rev Lett. 2009; 102(16):161301. DOI: 10.1103/PhysRevLett.102.161301. View

18.

Psaltis D, Perrodin D, Dienes K, Mocioiu I . Kerr black holes are not unique to general relativity. Phys Rev Lett. 2008; 100(9):091101. DOI: 10.1103/PhysRevLett.100.091101. View

19.

Ellis , Bruni . Covariant and gauge-invariant approach to cosmological density fluctuations. Phys Rev D Part Fields. 1989; 40(6):1804-1818. DOI: 10.1103/physrevd.40.1804. View

20.

Olmo G . The gravity Lagrangian according to solar system experiments. Phys Rev Lett. 2006; 95(26):261102. DOI: 10.1103/PhysRevLett.95.261102. View