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Generalized modified gravity with the second order acceleration equation

Changjun Gao
(
- Beijing Observ.
)

Aug, 2012

8 pages

Published in:

Phys.Rev.D 86 (2012) 103512

e-Print:

1208.2790 [gr-qc]

DOI:

10.1103/PhysRevD.86.103512

View in:

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Abstract: (arXiv)

In the theories of generalized modified gravity, the acceleration equation is generally fourth order. So it is hard to analyze the evolution of the Universe. In this paper, we present a class of generalized modified gravity theories which have the acceleration equation of second order derivative. Then both the cosmic evolution and the weak-field limit of the theories are easily investigated. We find that not only the Big-bang singularity problem but also the current cosmic acceleration problem could be easily dealt with.

Note:

8 pages, 2 figures. To appear in Phys. Rev. D

98.80.Cq
98.65.Dx
gravitation: model
expansion: acceleration
big bang: singularity
approximation: weak field
numerical calculations
space-time: Robertson-Walker

References(53)

Figures(2)

[1]

Renormalization of a classical gravitational field interacting with quantized matter fields

- J.Math.Phys. 3 (1962) 608-618
•
DOI:
- 10.1063/1.1724264

[2]

Renormalization of Higher Derivative Quantum Gravity

K.S. Stelle
(
- Brandeis U.
)

- Phys.Rev.D 16 (1977) 953-969
•
DOI:
- 10.1103/PhysRevD.16.953

[3]

Quantum Fields in Curved Space

•
DOI:
- 10.1017/CBO9780511622632

[4]

Effective action in quantum gravity

- Bristol, UK: IOP (1992) 413 p

[5]

Effective action in quantum gravity

G.A. Vilkovisky
(
- Lebedev Inst.
)

- Class.Quant.Grav. 9 (1992) 895-903
•
DOI:
- 10.1088/0264-9381/9/4/008

[6]

A New Type of Isotropic Cosmological Models Without Singularity

Alexei A. Starobinsky
(
- Cambridge U. and
- Landau Inst.
)

- Phys.Lett.B 91 (1980) 99-102,
- Adv.Ser.Astrophys.Cosmol. 3 (1987) 130-133,
•
DOI:
- 10.1016/0370-2693(80)90670-X

[7]

A Nonsingular universe

Robert H. Brandenberger
(
- Brown U.
)

•
e-Print:
- gr-qc/9210014

[7]

Towards a nonsingular universe

Robert H. Brandenberger
(
- Brown U.
)

- Annals N.Y.Acad.Sci. 688 (1993) 446,
•
e-Print:
- gr-qc/9302014
•
DOI:
- 10.1111/j.1749-6632.1993.tb43916.x

[7]

Implementing Markov's limiting curvature hypothesis

Robert H. Brandenberger
(
- Brown U.
)

e-Print:
- gr-qc/9509059

[8]

A Cosmological theory without singularities

Robert H. Brandenberger
(
- Brown U.
)
,
Viatcheslav F. Mukhanov
(
- Zurich, ETH
)
,
A. Sornborger
(
- Brown U.
)

- Phys.Rev.D 48 (1993) 1629-1642
•
e-Print:
- gr-qc/9303001
•
DOI:
- 10.1103/PhysRevD.48.1629

[9]

A Nonsingular universe

Viatcheslav F. Mukhanov
(
- Brown U.
)
,
Robert H. Brandenberger
(
- Brown U.
)

- Phys.Rev.Lett. 68 (1992) 1969-1972
•
DOI:
- 10.1103/PhysRevLett.68.1969

[10]

B. Shahid-Saless

- J.Math.Phys. 31 (1990) 2429

[11]

A Nonsingular two-dimensional black hole

M. Trodden
(
- Brown U.
)
,
Viatcheslav F. Mukhanov
(
- Zurich, ETH
)
,
Robert H. Brandenberger
(
- Brown U.
)

- Phys.Lett.B 316 (1993) 483-487
•
e-Print:
- hep-th/9305111
•
DOI:
- 10.1016/0370-2693(93)91032-I

[12]

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

[13]

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

[14]

4-D gravity on a brane in 5-D Minkowski space

- Phys.Lett.B 485 (2000) 208-214
•
e-Print:
- hep-th/0005016
•
DOI:
- 10.1016/S0370-2693(00)00669-9

[15]

Is Cosmic Speed-Up Due to New Gravitational Physics?

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP
)
,
Vikram Duvvuri
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP
)
,
Mark Trodden
(
- Syracuse U.
)
,
Michael S. Turner
(
- Chicago U., EFI and
- Chicago U. and
- Chicago U., KICP and
- Chicago U., Astron. Astrophys. Ctr. and
- Fermilab
)

- Phys.Rev.D 70 (2004) 043528
•
e-Print:
- astro-ph/0306438
•
DOI:
- 10.1103/PhysRevD.70.043528

[16]

f(R) Theories Of Gravity

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

[17]

Nontrivial vacua in higher derivative gravitation

- Phys.Rev.D 53 (1996) 5597-5608
•
e-Print:
- hep-th/9509147
•
DOI:
- 10.1103/PhysRevD.53.5597

[18]

Living with ghosts

- Phys.Rev.D 65 (2002) 103515
•
e-Print:
- hep-th/0107088
•
DOI:
- 10.1103/PhysRevD.65.103515

[19]

De Sitter Ground States and Boundary Terms in Generalized Gravity

M.S. Madsen
(
- Sussex U.
)
,
John D. Barrow
(
- Sussex U.
)

- Nucl.Phys.B 323 (1989) 242-252
•
DOI:
- 10.1016/0550-3213(89)90596-8

[19]

The Cosmology of generalized modified gravity models

Sean M. Carroll
(
- Chicago U., EFI and
- Chicago U., KICP
)
,
Antonio De Felice
(
- Syracuse U.
)
,
Vikram Duvvuri
(
- Chicago U., EFI and
- Chicago U., KICP
)
,
Damien A. Easson
(
- Syracuse U.
)
,
Mark Trodden
(
- Syracuse U.
)

et al.

- Phys.Rev.D 71 (2005) 063513
•
e-Print:
- astro-ph/0410031
•
DOI:
- 10.1103/PhysRevD.71.063513

[19]

The Existence of godel, Einstein and de Sitter universes

- Phys.Rev.D 72 (2005) 123003
•
e-Print:
- gr-qc/0511076
•
DOI:
- 10.1103/PhysRevD.72.123003

[20]

Born-Infeld type gravity

D. Comelli
(
- INFN, Ferrara
)

- Phys.Rev.D 72 (2005) 064018
•
e-Print:
- gr-qc/0505088
•
DOI:
- 10.1103/PhysRevD.72.064018

[21]

Consistent long distance modification of gravity from inverse powers of the curvature

- JCAP 03 (2006) 008
•
e-Print:
- gr-qc/0511045
•
DOI:
- 10.1088/1475-7516/2006/03/008

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