Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition

被引:154
作者
Garcia, Nadiezhda Montelongo [1 ]
Lobo, Francisco S. N. [1 ]
机构
[1] Univ Lisbon, Ctr Astron Astrofis, P-1749016 Lisbon, Portugal
关键词
MODIFIED GRAVITY; DARK;
D O I
10.1088/0264-9381/28/8/085018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Recently, the exact solutions of wormhole geometries supported by a nonminimal curvature-matter coupling were found, where the nonminimal coupling minimizes the violation of the null energy condition of normal matter at the throat. In this brief report, we present a solution where normal matter satisfies the energy conditions at the throat and it is the higher order curvature derivatives of the nonminimal coupling that are responsible for the null energy condition violation, and consequently for supporting the respective wormhole geometries. For simplicity, we consider a linear R nonmiminal curvature-matter coupling and an explicit monotonically increasing function for the energy density. Thus, the solution found is not asymptotically flat, but may in principle be matched to an exterior vacuum solution.
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页数:7
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共 40 条
[1]   Dark energy dominance and cosmic acceleration in first-order formalism [J].
Allemandi, G ;
Borowiec, A ;
Francaviglia, M ;
Odintsov, SD .
PHYSICAL REVIEW D, 2005, 72 (06)
[2]   Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter (I): Analytical results [J].
Bertolami, O. ;
Paramos, J. .
FIRST MEDITERRANEAN CONFERENCE ON CLASSICAL AND QUANTUM GRAVITY (MCCQG 2009), 2010, 222
[3]   Mimicking dark matter through a non-minimal gravitational coupling with matter [J].
Bertolami, O. ;
Paramos, J. .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2010, (03)
[4]   On the non-minimal gravitational coupling to matter [J].
Bertolami, O. ;
Paramos, J. .
CLASSICAL AND QUANTUM GRAVITY, 2008, 25 (24)
[5]  
BERTOLAMI O, 2008, ARXIV08112876GRQC
[6]   Extra force in f(R) modified theories of gravity [J].
Bertolami, Orfeu ;
Bohmer, Christian G. ;
Harko, Tiberiu ;
Lobo, Francisco S. N. .
PHYSICAL REVIEW D, 2007, 75 (10)
[7]   Energy conditions and stability in f(R) theories of gravity with nonminimal coupling to matter [J].
Bertolami, Orfeu ;
Sequeira, Miguel Carvalho .
PHYSICAL REVIEW D, 2009, 79 (10)
[8]   Nonminimal coupling of perfect fluids to curvature [J].
Bertolami, Orfeu ;
Lobo, Francisco S. N. ;
Paramos, Jorge .
PHYSICAL REVIEW D, 2008, 78 (06)
[9]   Dark matter as a geometric effect in f(R) gravity [J].
Boehmer, Christian G. ;
Harko, Tiberiu ;
Lobo, Francisco S. N. .
ASTROPARTICLE PHYSICS, 2008, 29 (06) :386-392
[10]   The generalized virial theorem in f(R) gravity [J].
Boehmer, Christian G. ;
Harko, Tiberiu ;
Lobo, Francisco S. N. .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2008, (03)