Wormhole Geometries In $f(R,T)$ Gravity

We study wormhole solutions in the framework of f(R,T) gravity where R is the scalar curvature, and T is the trace of the stress-energy tensor of the matter. We have obtained the shape function of the wormhole by specifying an equation of state for the matter field and imposing the flaring out condition at the throat. We show that in this modified gravity scenario, the matter threading the wormhole may satisfy the energy conditions, so it is the effective stress-energy that is responsible for violation of the null energy condition.

Note:

9 pages, 4 figures, published version, references added

04.50.Kd
04.50.-h
04.20.Cv
Modified Gravity
Traversable Wormhole
Energy Conditions
null-energy condition: violation
tensor: energy-momentum
wormhole: traversable
gravitation: f(R)

References(45)

Figures(4)

[1]

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

[2]

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

[3]

D.N. Spergel

- Astrophys.J.Suppl. 148 (2009) 225

[4]

Curvature quintessence matched with observational data

- Int.J.Mod.Phys.D 12 (2003) 1969-1982
•
e-Print:
- astro-ph/0307018
•
DOI:
- 10.1142/S0218271803004407

[5]

Modified gravity with negative and positive powers of the curvature: Unification of the inflation and of the cosmic acceleration

- Phys.Rev.D 68 (2003) 123512
•
e-Print:
- hep-th/0307288
•
DOI:
- 10.1103/PhysRevD.68.123512

[6]

Modified gravity with ln R terms and cosmic acceleration

- Gen.Rel.Grav. 36 (2004) 1765-1780
•
e-Print:
- hep-th/0308176
•
DOI:
- 10.1023/B:GERG.0000035950.40718.48

[7]

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

[8]

Modified f(R) gravity consistent with realistic cosmology: From matter dominated epoch to dark energy universe

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

- Phys.Rev.D 74 (2006) 086005
•
e-Print:
- hep-th/0608008
•
DOI:
- 10.1103/PhysRevD.74.086005

[9]

Cosmological expansion and the uniqueness of gravitational action

T. Multamaki
(
- Nordita
)
,
Iiro Vilja
(
- Turku U.
)

- Phys.Rev.D 73 (2006) 024018
•
e-Print:
- astro-ph/0506692
•
DOI:
- 10.1103/PhysRevD.73.024018

[10]

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

[11]

Disappearing cosmological constant in f(R) gravity

Alexei A. Starobinsky
(
- Landau Inst. and
- Kyoto U., Yukawa Inst., Kyoto
)

- JETP Lett. 86 (2007) 157-163
•
e-Print:
- 0706.2041
•
DOI:
- 10.1134/S0021364007150027

[12]

A.A. Starobinsky

- JETP Lett. 75 (2007) 104016

[13]

Introduction to modified gravity and gravitational alternative for dark energy

- eConf C0602061 (2006) 06,
- Int.J.Geom.Meth.Mod.Phys. 4 (2007) 115-146
•
e-Print:
- hep-th/0601213
•
DOI:
- 10.1142/S0219887807001928

[14]

Phantom-Like Behavior in f(R)-Gravity

- Phys.Lett.B 680 (2009) 205-211
•
e-Print:
- 0909.0351
•
DOI:
- 10.1016/j.physletb.2009.08.066

[15]

f(R) Theories Of Gravity

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

[16]

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

[17]

$f(R,T)$ 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

[18]

Reconstruction of some cosmological models in f(R,T) gravity

Mubasher Jamil
(
- Eurasian Nat. U., Astana and
- NUST, Islamabad
)
,
D. Momeni
(
- Eurasian Nat. U., Astana
)
,
Muhammad Raza
(
- COMSATS, Islamabad
)
,
Ratbay Myrzakulov
(
- Eurasian Nat. U., Astana
)

- Eur.Phys.J.C 72 (2012) 1999
•
e-Print:
- 1107.5807
•
DOI:
- 10.1140/epjc/s10052-012-1999-9

[19]

Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases

M.J.S. Houndjo
(
- Bahia U.
)

- Int.J.Mod.Phys.D 21 (2012) 1250003
•
e-Print:
- 1107.3887
•
DOI:
- 10.1142/S0218271812500034

[20]

Ether flow through a drainhole - a particle model in general relativity

H.G. Ellis
(
- Colorado U.
)

- J.Math.Phys. 14 (1973) 104-118
•
DOI:
- 10.1063/1.1666161

[21]

Scalar-tensor theory and scalar charge

K.A. Bronnikov

- Acta Phys.Polon.B 4 (1973) 251-266

[22]

EINSTEIN - YANG-MILLS - HIGGS SOLITONS

Gerard Clement
(
- Constantine U.
)

- Gen.Rel.Grav. 13 (1981) 763-770,
- GEN. REL. GRAV. 13 (1981) 763-770 AND CONSTANTINE UNIV. - IPUC 80-02 (80,REC.JUN.) 12 P
•
DOI:
- 10.1007/BF00758214

[23]

Wormholes in space-time and their use for interstellar travel: A tool for teaching general relativity

M.S. Morris
(
- Caltech
)
,
K.S. Thorne
(
- Caltech
)

- Am.J.Phys. 56 (1988) 395-412
•
DOI:
- 10.1119/1.15620

[24]

Lorentzian wormholes: From Einstein to Hawking

Matt Visser
(
- Washington U., St. Louis
)

- Woodbury, USA: AIP (1995) 412 p

[25]

Dynamic wormholes, anti-trapped surfaces, and energy conditions

David Hochberg
(
- Madrid, LAEFF
)
,
Matt Visser
(
- Washington U., St. Louis
)

- Phys.Rev.D 58 (1998) 044021
•
e-Print:
- gr-qc/9802046
•
DOI:
- 10.1103/PhysRevD.58.044021

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