Einstein-æther scalar–tensor cosmology - INSPIRE

DataBETA

Einstein-æther scalar–tensor cosmology

Jul 26, 2021

22 pages

Published in:

Eur.Phys.J.Plus 136 (2021) 11, 1130

Published: Nov 11, 2021

e-Print:

2107.12546 [gr-qc]

DOI:

10.1140/epjp/s13360-021-02125-0

View in:

ADS Abstract Service

reference search3 citations

Citations per year

Abstract: (Springer)

We propose an Einstein-æther scalar–tensor cosmological model. In particular, in the scalar–tensor Action Integral, we introduce the æther field with æther coefficients to be functions of the scalar field. This cosmological model extends previous studies on Lorentz-violating theories. For a spatially flat Friedmann–Lemaître–Robertson–Walker background space, we write the field equations which are of second order with dynamical variables the scale factor and the scalar field. The physical evolution of the field equations depends upon three unknown functions which are related to the scalar–tensor coupling function, the scalar field potential, and the æther coefficient functions. We investigate the existence of analytic solutions for the field equations and the integrability properties according to the existence of linear in the momentum conservation laws. We define a new set of variables in which the dynamical evolution depends only upon the scalar field potential. Furthermore, the asymptotic behavior and the cosmological history are investigated where we find that the theory provides inflationary eras similar to that of scalar–tensor theory but with Lorentz-violating terms provided by the æther field. Finally, in the new variables, we found that the field equations are integrable due to the existence of nonlocal conservation laws for arbitrary functional forms of the three free functions.

Note:

22 pages, 1 compound figure

field theory: scalar
momentum: conservation law
conservation law: nonlocal
scalar tensor
field equations: solution
cosmological model
integrability
inflation
background
asymptotic behavior

References(86)

Figures(1)

[1]

: Modern tests of Lorentz invariance, Liv. Rev. Relat. 8 5

D. Mattingly

[2]

Gravity, Lorentz violation, and the standard model

V.Alan Kostelecky
(
- Indiana U.
)

- Phys.Rev.D 69 (2004) 105009
•
e-Print:
- hep-th/0312310
•
DOI:
- 10.1103/PhysRevD.69.105009

[3]

Lorentz Violation in Goldstone Gravity

Sean M. Carroll
(
- Caltech
)
,
Heywood Tam
(
- Caltech
)
,
Ingunn Kathrine Wehus
(
- Oslo U. and
- Caltech
)

- Phys.Rev.D 80 (2009) 025020
•
e-Print:
- 0904.4680
•
DOI:
- 10.1103/PhysRevD.80.025020

[4]

Bigravity and Lorentz-violating Massive Gravity

D. Blas
(
- Barcelona U.
)
,
C. Deffayet
(
- APC, Paris and
- Paris, Inst. Astrophys.
)
,
J. Garriga
(
- Barcelona U.
)

- Phys.Rev.D 76 (2007) 104036
•
e-Print:
- 0705.1982
•
DOI:
- 10.1103/PhysRevD.76.104036

[5]

Signals for Lorentz violation in gravitational waves

Matthew Mewes
(
- Cal. Poly.
)

- Phys.Rev.D 99 (2019) 10, 104062
•
e-Print:
- 1905.00409
•
DOI:
- 10.1103/PhysRevD.99.104062

[6]

Lorentz-violating vector fields slow the universe down

Sean M. Carroll
(
- Chicago U. and
- Chicago U., EFI and
- Chicago U., KICP
)
,
Eugene A. Lim
(
)

- Phys.Rev.D 70 (2004) 123525
•
e-Print:
- hep-th/0407149
•
DOI:
- 10.1103/PhysRevD.70.123525

[7]

Einstein-aether theory, violation of Lorentz invariance, and metric-affine gravity

Christian Heinicke
(
- Cologne U.
)
,
Peter Baekler
(
- Heinrich Heine U., Dusseldorf
)
,
Friedrich W. Hehl
(
- Cologne U. and
- Missouri U.
)

- Phys.Rev.D 72 (2005) 025012
•
e-Print:
- gr-qc/0504005
•
DOI:
- 10.1103/PhysRevD.72.025012

[8]

Cosmology in the Universe with Distance Dependent Lorentz-Violating Background

C.A. G. Almeida
(
- Rio de Janeiro Federal U.
)
,
M.A. Anacleto
(
- Campina Grande Federal U.
)
,
F.A. Brito
(
- Campina Grande Federal U. and
- Paraiba U.
)
,
E. Passos
(
- Campina Grande Federal U.
)
,
J.R. L. Santos
(
- Campina Grande Federal U.
)

- Adv.High Energy Phys. 2017 (2017) 5802352
•
e-Print:
- 1712.00995
•
DOI:
- 10.1155/2017/5802352

[9]

One-loop renormalization of Lorentz and CPT -violating scalar field theory in curved spacetime

Tibério de Paula Netto
(
- Juiz de Fora U.
)

- Phys.Rev.D 97 (2018) 5, 055048
•
e-Print:
- 1711.05193
•
DOI:
- 10.1103/PhysRevD.97.055048

[10]

P. Brax

- J.Phys.Lett.B 712 (2012) 155

[11]

Cosmology of a Lorentz violating Galileon theory

Zahra Haghani
(
- Damghan U.
)
,
Tiberiu Harko
(
- University Coll. London
)
,
Hamid Reza Sepangi
(
- Shahid Beheshti U.
)
,
Shahab Shahidi
(
- Damghan U.
)

- JCAP 05 (2015) 022
•
e-Print:
- 1501.00819
•
DOI:
- 10.1088/1475-7516/2015/05/022

[12]

Einstein-Aether waves

T. Jacobson
(
- Paris, Inst. Astrophys.
)
,
D. Mattingly
(
- UC, Davis
)

- Phys.Rev.D 70 (2004) 024003
•
e-Print:
- gr-qc/0402005
•
DOI:
- 10.1103/PhysRevD.70.024003

[13]

:, ['

T. Jacobson

- Phys.Rev.D 81 10502

[14]

Extended Horava gravity and Einstein-aether theory

Ted Jacobson
(
- Maryland U.
)

- Phys.Rev.D 81 (2010) 101502,
- Phys.Rev.D 82 (2010) 129901 (erratum)
•
e-Print:
- 1001.4823
•
DOI:
- 10.1103/PhysRevD.81.101502

[15]

Cosmic alignment of the aether

Isaac Carruthers
(
- Maryland U.
)
,
Ted Jacobson
(
- Maryland U.
)

- Phys.Rev.D 83 (2011) 024034
•
e-Print:
- 1011.6466
•
DOI:
- 10.1103/PhysRevD.83.024034

[16]

A positive energy theorem for Einstein-aether and Hořava gravity

David Garfinkle
(
- Oakland U. and
- Michigan U.
)
,
Ted Jacobson
(
- Maryland U.
)

- Phys.Rev.Lett. 107 (2011) 191102
•
e-Print:
- 1108.1835
•
DOI:
- 10.1103/PhysRevLett.107.191102

[17]

Coupling the inflaton to an expanding aether

William Donnelly
(
- Maryland U.
)
,
Ted Jacobson
(
- Maryland U.
)

- Phys.Rev.D 82 (2010) 064032
•
e-Print:
- 1007.2594
•
DOI:
- 10.1103/PhysRevD.82.064032

[18]

Neutron stars in Einstein-aether theory

- Phys.Rev.D 76 (2007) 042003,
- Phys.Rev.D 80 (2009) 129906 (erratum)
•
e-Print:
- 0705.1565
•
DOI:
- 10.1103/PhysRevD.76.042003

[19]

Generalized Einstein-Aether theories and the Solar System

Camille Bonvin
(
- Oxford U. and
- Geneva U.
)
,
Ruth Durrer
(
- Geneva U.
)
,
Pedro G. Ferreira
(
- Oxford U.
)
,
Glenn Starkman
(
- Oxford U. and
- Case Western Reserve U.
)
,
Tom G. Zlosnik
(
- Oxford U.
)

- Phys.Rev.D 77 (2008) 024037
•
e-Print:
- 0707.3519
•
DOI:
- 10.1103/PhysRevD.77.024037

[20]

Noether symmetries of Einstein-aether scalar field cosmology

Yusuf Kucukakca
(
- Akdeniz U.
)
,
Amin Rezaei Akbarieh
(
- Tabriz U.
)

- Eur.Phys.J.C 80 (2020) 11, 1019
•
DOI:
- 10.1140/epjc/s10052-020-08583-7

[21]

Charged Einstein-aether black holes and Smarr formula

Chikun Ding
(
- Hunan Inst. Humanities Sci. Tech. and
- Baylor U.
)
,
Anzhong Wang
(
- Baylor U.
)
,
Xinwen Wang
(
- Baylor U.
)

- Phys.Rev.D 92 (2015) 8, 084055
•
e-Print:
- 1507.06618
•
DOI:
- 10.1103/PhysRevD.92.084055

[22]

Existence of New Singularities in Einstein-Aether Theory

- JCAP 05 (2020) 025
•
e-Print:
- 1912.12845
•
DOI:
- 10.1088/1475-7516/2020/05/025

[23]

Holographic superconductors in Einstein-æther gravity

Kai Lin
(
- Zhejiang U. Tech. and
- Itajuba Federal U.
)
,
Yumei Wu
(
- Zhejiang U. Tech. and
- Baylor U.
)

- Mod.Phys.Lett.A 32 (2017) 34, 1750188
•
DOI:
- 10.1142/S0217732317501887

[24]

Class. Quantum Gravit. 035006

R. Akhoury
,
D. Garfinkle
,
N. Gupta

[25]

Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential

- Gen.Rel.Grav. 51 (2019) 9, 115
•
e-Print:
- 1905.02003
•
DOI:
- 10.1007/s10714-019-2598-y

1-25 of 86
1
2
3
4
25 / page