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Exact solutions in f(R) theory of gravity

Feb 25, 2016

7 pages

Published in:

Gen.Rel.Grav. 48 (2016) 10, 131

Published: Sep 9, 2016

e-Print:

1602.08164 [gr-qc]

DOI:

10.1007/s10714-016-2128-0

View in:

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Abstract: (Springer)

We find a new method for looking for the static and spherically symmetric solutions in F(R) theory of gravity. With this method, a number of new solutions in terms of the analytic functions are obtained. We hope this investigation may be of some help in the searching for some other solutions in F(R) theory of gravity.

Note:

8 pages, 2 figures,accepted by GRG

References(40)

Figures(5)

[1]

The Power of General Relativity

- Phys.Rev.D 72 (2005) 10, 103005,
- Phys.Rev.D 90 (2014) 2, 029902 (erratum)
•
e-Print:
- gr-qc/0509059
•
DOI:
- 10.1103/PhysRevD.72.103005

[2]

Static Spherically Symmetric Solutions in F(R) Gravity

Lorenzo Sebastiani
(
- Trento U. and
- INFN, Padua
)
,
Sergio Zerbini
(
- Trento U. and
- INFN, Padua
)

- Eur.Phys.J.C 71 (2011) 1591
•
e-Print:
- 1012.5230
•
DOI:
- 10.1140/epjc/s10052-011-1591-8

[3]

Some static spherically symmetric interior solutions of $f(R)$ gravity

Ali Shojai
(
- Tehran U.
)
,
Fatimah Shojai
(
- Tehran U.
)

- Gen.Rel.Grav. 44 (2012) 211-223
•
e-Print:
- 1109.2190
•
DOI:
- 10.1007/s10714-011-1271-x

[4]

New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
N. Frusciante
(
- SISSA, Trieste and
- INFN, Trieste
)
,
D. Vernieri
(
- SISSA, Trieste and
- INFN, Trieste
)

- Gen.Rel.Grav. 44 (2012) 1881-1891
•
e-Print:
- 1204.4650
•
DOI:
- 10.1007/s10714-012-1367-y

[5]

Spherically symmetric solutions of modified field equations in f(R) theories of gravity

Tuomas Multamaki
(
- Turku U.
)
,
Iiro Vilja
(
- Turku U.
)

- Phys.Rev.D 74 (2006) 064022
•
e-Print:
- astro-ph/0606373
•
DOI:
- 10.1103/PhysRevD.74.064022

[6]

A static axisymmetric exact solution of $f(R)$ -gravity

- Phys.Lett.B 718 (2013) 1493-1499
•
e-Print:
- 1211.2285
•
DOI:
- 10.1016/j.physletb.2012.12.014

[7]

Generation of spherically symmetric metrics in f(R) gravity

- Eur.Phys.J.C 76 (2016) 6, 338
•
e-Print:
- 1509.06967
•
DOI:
- 10.1140/epjc/s10052-016-4164-z

[8]

Collapsing spherical stars in f(R) gravity

Rituparno Goswami
(
- KwaZulu Natal U.
)
,
Anne Marie Nzioki
(
- KwaZulu Natal U.
)
,
Sunil. D. Maharaj
(
- KwaZulu Natal U.
)
,
Sushant G. Ghosh
(
- KwaZulu Natal U. and
- Jamia Millia Islamia
)

- Phys.Rev.D 90 (2014) 8, 084011
•
e-Print:
- 1409.2371
•
DOI:
- 10.1103/PhysRevD.90.084011

[9]

Some exact solutions of F(R) gravity with charged (a)dS black hole interpretation

S.H. Hendi
(
- Yasouj U. and
- RIAAM, Maragha
)
,
B. Eslam Panah
,
S.M. Mousavi

- Gen.Rel.Grav. 44 (2012) 835-853
•
e-Print:
- 1102.0089
•
DOI:
- 10.1007/s10714-011-1307-2

[10]

Static and spherically symmetric black holes in $f(R)$ theories

- Phys.Rev.D 84 (2011) 084006
•
e-Print:
- 1107.5727
•
DOI:
- 10.1103/PhysRevD.84.084006

[11]

Black Holes in f(R) theories

- Phys.Rev.D 80 (2009) 124011,
- Phys.Rev.D 83 (2011) 029903 (erratum)
•
e-Print:
- 0907.3872
•
DOI:
- 10.1103/PhysRevD.80.124011

[12]

Kerr-Newman black holes in $f(R)$ theories

J.A.R. Cembranos
(
- Madrid U.
)
,
A. de la Cruz-Dombriz
(
- Cape Town U., ACGC and
- Cape Town U., Dept. Math.
)
,
P. Jimeno Romero
(
- Basque U., Bilbao
)

- Int.J.Geom.Meth.Mod.Phys. 11 (2014) 1450001
•
e-Print:
- 1109.4519
•
DOI:
- 10.1142/S0219887814500017

[13]

On neutron stars in $f(R)$ theories: Small radii, large masses and large energy emitted in a merger

Miguel Aparicio Resco
(
- Madrid U.
)
,
Álvaro de la Cruz-Dombriz
(
- Cape Town U., ACGC and
- Cape Town U., Dept. Math.
)
,
Felipe J. Llanes Estrada
(
- Madrid U.
)
,
Víctor Zapatero Castrillo
(
- Madrid U.
)

- Phys.Dark Univ. 13 (2016) 147-161
•
e-Print:
- 1602.03880
•
DOI:
- 10.1016/j.dark.2016.07.001

[14]

Wormhole geometries in f(R) modified theories of gravity

Francisco S.N. Lobo
(
- Lisbon U., CFTC
)
,
Miguel A. Oliveira
(
- Lisbon U.
)

- Phys.Rev.D 80 (2009) 104012
•
e-Print:
- 0909.5539
•
DOI:
- 10.1103/PhysRevD.80.104012

[15]

Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions

T.R.P. Carames
(
- Paraiba U.
)
,
E.R. Bezerra de Mello
(
- Paraiba U.
)

- Eur.Phys.J.C 64 (2009) 113-121
•
e-Print:
- 0901.0814
•
DOI:
- 10.1140/epjc/s10052-009-1115-y

[16]

Cylindrical solutions in metric f(R) gravity

A. Azadi
(
- Tehran U.
)
,
D. Momeni
(
- Tehran U.
)
,
M. Nouri-Zonoz
(
- Tehran U. and
- IPM, Tehran
)

- Phys.Lett.B 670 (2008) 210-214
•
e-Print:
- 0810.4673
•
DOI:
- 10.1016/j.physletb.2008.10.054

[17]

Spherical symmetry in f(R)-gravity

S. Capozziello
(
- Naples U. and
- INFN, Naples
)
,
A. Stabile
(
- Salerno U. and
- INFN, Salerno
)
,
A. Troisi
(
- Naples U. and
- INFN, Naples
)

- Class.Quant.Grav. 25 (2008) 085004
•
e-Print:
- 0709.0891
•
DOI:
- 10.1088/0264-9381/25/8/085004

[18]

Spherically symmetric spacetimes in f(R) gravity theories

Kimmo Kainulainen
(
- Jyvaskyla U.
)
,
Johanna Piilonen
(
- Jyvaskyla U.
)
,
Vappu Reijonen
(
- Helsinki Inst. of Phys. and
- Helsinki U.
)
,
Daniel Sunhede
(
- Jyvaskyla U.
)

- Phys.Rev.D 76 (2007) 024020
•
e-Print:
- 0704.2729
•
DOI:
- 10.1103/PhysRevD.76.024020

[19]

Thermodynamics of topological black holes in $R^{2}$ gravity

Guido Cognola
(
- Trento U. and
- INFN, Trento
)
,
Massimiliano Rinaldi
(
- Trento U. and
- INFN, Trento
)
,
Luciano Vanzo
(
- Trento U. and
- INFN, Trento
)
,
Sergio Zerbini
(
- Trento U. and
- INFN, Trento
)

- Phys.Rev.D 91 (2015) 104004
•
e-Print:
- 1503.05151
•
DOI:
- 10.1103/PhysRevD.91.104004

[20]

Anti-Evaporation of Schwarzschild-de Sitter Black Holes in $F(R)$ gravity

Shin'ichi Nojiri
(
- Nagoya U. and
- KMI, Nagoya
)
,
Sergei D. Odintsov
(
- ICE, Bellaterra and
- ICREA, Barcelona and
- Tomsk Pedagogical Inst. and
- Eurasian Nat. U., Astana
)

- Class.Quant.Grav. 30 (2013) 125003
•
e-Print:
- 1301.2775
•
DOI:
- 10.1088/0264-9381/30/12/125003

[21]

Instabilities and anti-evaporation of Reissner–Nordström black holes in modified $F(R)$ gravity

Shin'ichi Nojiri
(
- Nagoya U. and
- KMI, Nagoya
)
,
Sergei D. Odintsov
(
- Barcelona, IEEC and
- ICREA, Barcelona and
- Tomsk Pedagogical Inst. and
- Tomsk State U. and
- Jeddah U.
)

- Phys.Lett.B 735 (2014) 376-382
•
e-Print:
- 1405.2439
•
DOI:
- 10.1016/j.physletb.2014.06.070

[22]

Asymptotically Lifshitz black hole solutions in F(R) gravity

S.H. Hendi
(
- RIAAM, Maragha and
- Shiraz U.
)
,
B. Eslam Panah
(
- Tabriz U. and
- Islamic Azad U.
)
,
C. Corda
(
- PRATO, Italy
)

- Can.J.Phys. 92 (2014) 1, 76-81
•
e-Print:
- 1309.2135
•
DOI:
- 10.1139/cjp-2013-0357

[23]

Exact solutions of three-dimensional black holes: Einstein gravity versus $F(R)$ gravity

S.H. Hendi
(
- Shiraz U. and
- Biruni Observ. and
- RIAAM, Maragha
)
,
B. Eslam Panah
(
- Shiraz U.
)
,
R. Saffari
(
- Gilan U., Rasht
)

- Int.J.Mod.Phys.D 23 (2014) 11, 1450088
•
e-Print:
- 1408.5570
•
DOI:
- 10.1142/S0218271814500886

[24]

Relativistic stars in f(R) and scalar-tensor theories

Eugeny Babichev
(
- APC, Paris and
- Moscow, INR
)
,
David Langlois
(
- APC, Paris and
- Paris, Inst. Astrophys.
)

- Phys.Rev.D 81 (2010) 124051
•
e-Print:
- 0911.1297
•
DOI:
- 10.1103/PhysRevD.81.124051

[25]

Relativistic stars in f(R) gravity

E. Babichev
(
- APC, Paris
)
,
D. Langlois
(
- APC, Paris
)

- Phys.Rev.D 80 (2009) 121501,
- Phys.Rev.D 81 (2010) 069901 (erratum)
•
e-Print:
- 0904.1382
•
DOI:
- 10.1103/PhysRevD.81.069901

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