Metric-affine f(R,T) theories of gravity and their applications - INSPIRE

DataBETA

Metric-affine f(R,T) theories of gravity and their applications

Mar 14, 2018

10 pages

Published in:

Phys.Rev.D 97 (2018) 10, 104041

Published: May 24, 2018

e-Print:

1803.05525 [gr-qc]

DOI:

10.1103/PhysRevD.97.104041

View in:

reference search73 citations

Citations per year

Abstract: (APS)

We study f(R,T) theories of gravity, where T is the trace of the energy-momentum tensor Tμν, with independent metric and affine connection (metric-affine theories). We find that the resulting field equations share a close resemblance with their metric-affine f(R) relatives once an effective energy-momentum tensor is introduced. As a result, the metric field equations are second-order and no new propagating degrees of freedom arise as compared to GR, which contrasts with the metric formulation of these theories, where a dynamical scalar degree of freedom is present. Analogously to its metric counterpart, the field equations impose the nonconservation of the energy-momentum tensor, which implies nongeodesic motion and consequently leads to the appearance of an extra force. The weak field limit leads to a modified Poisson equation formally identical to that found in Eddington-inspired Born-Infeld gravity. Furthermore, the coupling of these gravity theories to perfect fluids, electromagnetic, and scalar fields, and their potential applications are discussed.

Note:

9 pages

References(51)

Figures(0)

[1]

Measurements of $\Omega$ and $\Lambda$ from 42 High Redshift Supernovae

Supernova Cosmology Project

Collaboration

•

S. Perlmutter
(
- UC, Berkeley, CfPA
)

et al.

- Astrophys.J. 517 (1999) 565-586
•
e-Print:
- astro-ph/9812133
•
DOI:
- 10.1086/307221

[2]

Observational evidence from supernovae for an accelerating universe and a cosmological constant

et al.

- Astron.J. 116 (1998) 1009-1038
•
e-Print:
- astro-ph/9805201
•
DOI:
- 10.1086/300499

[3]

Dynamics of dark energy

Edmund J. Copeland
(
- Nottingham U.
)
,
M. Sami
(
- Jamia Millia Islamia
)
,
Shinji Tsujikawa
(
- Gunma Coll. Tech.
)

- Int.J.Mod.Phys.D 15 (2006) 1753-1936
•
e-Print:
- hep-th/0603057
•
DOI:
- 10.1142/S021827180600942X

[4]

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

S. Nojiri
(
- KMI, Nagoya and
- Nagoya U.
)
,
S.D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona
)
,
V.K. Oikonomou
(
- Tomsk Pedagogical Inst. and
- TUSUR, Tomsk
)

- Phys.Rept. 692 (2017) 1-104
•
e-Print:
- 1705.11098
•
DOI:
- 10.1016/j.physrep.2017.06.001

[5]

Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity (Cambridge University Press, Cambridge, England,)

L. Parker
,
D.J. Toms

[6]

Effective action in quantum gravity

- Bristol, UK: IOP (1992) 413 p

[7]

f(R) Theories Of Gravity

- Rev.Mod.Phys. 82 (2010) 451-497
•
e-Print:
- 0805.1726
•
DOI:
- 10.1103/RevModPhys.82.451

[8]

f(R) theories

- Living Rev.Rel. 13 (2010) 3
•
e-Print:
- 1002.4928
•
DOI:
- 10.12942/lrr-2010-3

[9]

Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models

Shin'ichi Nojiri
(
- KMI, Nagoya and
- Nagoya U.
)
,
Sergei D. Odintsov
(
- ICE, Bellaterra and
- ICREA, Barcelona
)

- Phys.Rept. 505 (2011) 59-144
•
e-Print:
- 1011.0544
•
DOI:
- 10.1016/j.physrep.2011.04.001

[10]

H.F.M. Goenner

- Found.Phys. 14 (1984) 9

[11]

Extra force in f(R) modified theories of gravity

Orfeu Bertolami
(
- Lisbon, IST
)
,
Christian G. Boehmer
(
- Portsmouth U., ICG
)
,
Tiberiu Harko
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Portsmouth U., ICG and
- Lisbon U., CAAUL
)

- Phys.Rev.D 75 (2007) 104016
•
e-Print:
- 0704.1733
•
DOI:
- 10.1103/PhysRevD.75.104016

[12]

Dark energy dominance and cosmic acceleration in first order formalism

Gianluca Allemandi
(
- Turin U.
)
,
Andrzej Borowiec
(
- Wroclaw U.
)
,
Mauro Francaviglia
(
- Turin U.
)
,
Sergei D. Odintsov
(
- ICREA, Barcelona and
- Barcelona, IEEC and
- CSIC, Catalunya and
- Barcelona, IFAE
)

- Phys.Rev.D 72 (2005) 063505
•
e-Print:
- gr-qc/0504057
•
DOI:
- 10.1103/PhysRevD.72.063505

[13]

Gravity assisted dark energy dominance and cosmic acceleration

- Phys.Lett.B 599 (2004) 137-142
•
e-Print:
- astro-ph/0403622
•
DOI:
- 10.1016/j.physletb.2004.08.045

[14]

General theory of relativity: Will it survive the next decade?

- Astrophys.Space Sci.Libr. 349 (2008) 27-74
•
e-Print:
- gr-qc/0602016
•
DOI:
- 10.1007/978-3-540-34377-6_2

[15]

Solar system tests of the equivalence principle and constraints on higher dimensional gravity

J.M. Overduin
(
- Waterloo U. and
- Stanford U., HEPL
)

- Phys.Rev.D 62 (2000) 102001
•
e-Print:
- gr-qc/0007047
•
DOI:
- 10.1103/PhysRevD.62.102001

[16]

Questioning the equivalence principle

Thibault Damour
(
- IHES, Bures-sur-Yvette
)

- Compt.Rend.Acad.Sci.Ser.IV Phys.Astrophys. 2 (2001) 9, 1249-1256
•
e-Print:
- gr-qc/0109063
•
DOI:
- 10.1016/S1296-2147(01)01272-0

[17]

Testing the equivalence principle: Why and how?

Thibault Damour
(
- IHES, Bures-sur-Yvette and
- Meudon Observ.
)

- Class.Quant.Grav. 13 (1996) A33-A42,
- Class. Quantum Grav. 13 (1996) A33-A41
•
e-Print:
- gr-qc/9606080
•
DOI:
- 10.1088/0264-9381/13/11A/005

[18]

Equivalence Principle Violations and Couplings of a Light Dilaton

- Phys.Rev.D 82 (2010) 084033
•
e-Print:
- 1007.2792
•
DOI:
- 10.1103/PhysRevD.82.084033

[19]

f(R, $L_{m}$ ) gravity

Tiberiu Harko
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Lisbon U., CAAUL
)

- Eur.Phys.J.C 70 (2010) 373-379
•
e-Print:
- 1008.4193
•
DOI:
- 10.1140/epjc/s10052-010-1467-3

[20]

$f(R,T)$ gravity

Tiberiu Harko
(
- Hong Kong U.
)
,
Francisco S.N. Lobo
(
- Lisbon U.
)
,
Shin'ichi Nojiri
(
- Nagoya U. and
- KMI, Nagoya
)
,
Sergei D. Odintsov
(
- ICREA, Barcelona and
- ICE, Bellaterra
)

- Phys.Rev.D 84 (2011) 024020
•
e-Print:
- 1104.2669
•
DOI:
- 10.1103/PhysRevD.84.024020

[21]

Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling

Tiberiu Harko
(
- University Coll. London
)

- Phys.Rev.D 90 (2014) 4, 044067
•
e-Print:
- 1408.3465
•
DOI:
- 10.1103/PhysRevD.90.044067

[22]

Gravitational induced particle production through a nonminimal curvature–matter coupling

Tiberiu Harko
(
- University Coll. London
)
,
Francisco S.N. Lobo
(
- Lisbon, CFTP
)
,
José P. Mimoso
(
- Lisbon, CFTP
)
,
Diego Pavón
(
- Barcelona, Autonoma U.
)

- Eur.Phys.J.C 75 (2015) 386
•
e-Print:
- 1508.02511
•
DOI:
- 10.1140/epjc/s10052-015-3620-5

[23]

Cosmological implications of modified gravity induced by quantum metric fluctuations

Xing Liu
(
- Zhongshan U.
)
,
Tiberiu Harko
(
- Babes-Bolyai U. and
- University Coll. London
)
,
Shi-Dong Liang
(
- Zhongshan U.
)

- Eur.Phys.J.C 76 (2016) 8, 420
•
e-Print:
- 1607.04874
•
DOI:
- 10.1140/epjc/s10052-016-4275-6

[24]

Matter Lagrangian of particles and fluids

P.P. Avelino
(
- Porto U. and
- Porto U., Astron. Dept.
)
,
L. Sousa
(
- Porto U., Astron. Dept.
)

- Phys.Rev.D 97 (2018) 6, 064019
•
e-Print:
- 1802.03961
•
DOI:
- 10.1103/PhysRevD.97.064019

[25]

Perfect fluid Lagrangian and its cosmological implications in theories of gravity with nonminimally coupled matter fields

- Phys.Rev.D 97 (2018) 6, 064018
•
e-Print:
- 1802.04760
•
DOI:
- 10.1103/PhysRevD.97.064018

1-25 of 51
1
2
3
25 / page