2015
DOI: 10.1140/epjc/s10052-015-3496-4
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Evolution of axially symmetric anisotropic sources in f(R, T) gravity

Abstract: We discuss the dynamical analysis in f (R, T ) gravity (where R is the Ricci scalar and T is the trace of the energy momentum tensor) for gravitating sources carrying axial symmetry. The self-gravitating system is taken to be anisotropic and the line element describes an axially symmetric geometry avoiding rotation about the symmetry axis and meridional motions (zero vorticity case). The modified field equations for axial symmetry in f (R, T ) theory are formulated, together with the dynamical equations. Linea… Show more

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Cited by 108 publications
(59 citation statements)
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“…[58][59][60][61][62][63][64][65]. Sharif et al [58] have discussed the stability of a collapsing spherical body of an isotropic fluid distribution considering the non-static spherically symmetric line element.…”
Section: Introductionmentioning
confidence: 99%
“…[58][59][60][61][62][63][64][65]. Sharif et al [58] have discussed the stability of a collapsing spherical body of an isotropic fluid distribution considering the non-static spherically symmetric line element.…”
Section: Introductionmentioning
confidence: 99%
“…Although the late-time acceleration of the universe expansion [13][14][15] has been broadly investigated in such a theory of gravity [16][17][18][19][20][21][22][23][24][25], the inflationary era still presents a lack of examination. The same happens for the radiation-dominated era of the universe.…”
Section: Introductionmentioning
confidence: 99%
“…Such an EoS yields a null trace for the energy-momentum tensor of a perfect fluid. A null trace for the energy-momentum tensor yields the f (R) formalism for the f (R, T ) functional forms found in the literature (see, for instance, [12,[16][17][18][19][20][21][22][23][24][25]). Hence the study of the radiation era of the universe in f (R, T ) gravity seems to be quite tricky.…”
Section: Introductionmentioning
confidence: 99%
“…The field equations of f (R, T ) modified theory have been explored by implementing the perturbation approach [46]. The possible formation of compacts stars in a modified theory of gravity by using the Krori and Barua metric for spherically symmetric anisotropic compact stars has been discussed [47,48]. In a recently published paper [1], Sharif and Ikram presented a new modified f (G, T ) theory of gravity and studied various energy conditions for the FriedmannRobertson-Walker (FRW) universe.…”
Section: Introductionmentioning
confidence: 99%