Geodesic deviation equation in f(R, T) gravity

Baffou, Etienne; Houndjo, M. J. S.; Rodrigues, Manuel E.; Kpadonou, A.; Tossa, J.

doi:10.1016/j.cjph.2016.10.020

Cited by 33 publications

(10 citation statements)

References 43 publications

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“…The f (R, T ) theory meets weak-field solar system conditions successfully, and new investigations make us able to assemble the galactic impacts of dark matter with the help of this theory [2]. It has also been found that f (R, T ) gravity shows clear tendency towards the deviation of the standard geodesic equation [3] and gravitational lensing [4]. Due to its viable nature, it can be applied to explore multiple astrophysical and cosmological phenomena, which can give rise to significant developments.…”

Section: Introductionmentioning

confidence: 87%

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

Azmat

Zubair

2021

Eur. Phys. J. Plus

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In this work, we have adopted gravitational decoupling by Minimal Geometric Deformation (MGD) approach and have developed an anisotropic version of well-known Tolman VII isotropic solution in the framework of f (R, T ) gravity, where R is Ricci scalar and T is trace of energy momentum tensor. The set of field equations has been developed with respect to total energy momentum tensor, which combines effective energy momentum tensor in f (R, T ) gravity and additional source φij. Following MGD approach, the set of field equations has been separated into two sections. One section represents f (R, T ) field equations, while the other is related to the source φij. The matching conditions for inner and outer geometry have also been discussed and an anisotropic solution has been developed using mimic constraint for radial pressure. In order to check viability of the solution, we have considered observation data of three different compact star models, named PSR J1614-2230, PSR 1937+21 and SAX J1808.4-3658 and have discussed thermodynamical properties analytically and graphically. The energy conditions are found to be satisfied for the three compact stars. The stability analysis has been presented through causality condition and Herrera's cracking concept, which ensures physical acceptability of the solution.

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Section: Introductionmentioning

confidence: 87%

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

Azmat

Zubair

2021

Eur. Phys. J. Plus

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“…New terms from this theory allow us to portray the galactic impacts of dark matter [49]. It was also indicated that f (R, T ) gravity can give an extensive contribution to the deviation to the standard geodesic equation [50] and gravitational lensing [51]. This modified theory can be applied to investigate diverse issues of actual premium and may prompt some significant contrasts.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic Karmarkar stars in f(R, T)-gravity

et al. 2020

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The main aim of this work is devoted to studying the existence of compact spherical systems representing anisotropic matter distributions within the scenario of alternative theories of gravitation, specifically f (R, T) gravity theory. Besides, a noteworthy and achievable choice on the formulation of f (R, T) gravity is made. To provide the complete set of field equations for the anisotropic matter distribution, it is considered that the functional form of f (R, T) as f (R, T) = R +2χ T , where R and T correspond to scalar curvature and trace of the stress-energy tensor, respectively. Following the embedding class one approach employing the Eisland condition to get a full space-time portrayal interior the astrophysical structure. When the space-time geometry is identified, we construct a suitable anisotropic model by using a new gravitational potential g rr which often yields physically motivated solutions that describe the anisotropic matter distribution interior the astrophysical system. The physical availability of the obtained model, represents the physical characteristics of the solution is affirmed by performing several physical tests. It merits referencing that with the help of the observed mass values for six compact stars, we have predicted the exact radii for different values of χ-coupling parameter. From this one can convince that the solution predicted the radii in good agreement with the observed values. Since the radius of MSP J0740+6620, the most massive neutron star observed yet is still unknown, we have predicted its radii for different values of χ-coupling parameter. These predicted radii exhibit a monotonic diminishing nature as the a e-mail:

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“…47 Also, the non-conservation of the energy-momentum tensor implies in non-geodesic motions for test particles in gravitational fields as it was deeply investigated. 48 In 49, 50 a different approach was considered. The authors have independently constructed a formalism in which an effective fluid is conserved in f (R, T ) gravity, rather than the usual energy-momentum tensor non-conservation.…”

Section: An Alternative Gravity With Extra Materials Termsmentioning

confidence: 99%

Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms

Sahoo

Moraes

Ribeiro

2018

Int. J. Mod. Phys. D

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Wormholes are tunnels connecting different regions in space-time. They were obtained originally as a solution for Einstein's General Relativity theory and according to this theory they need to be filled by an exotic kind of anisotropic matter. In the present sense, by "exotic matter" we mean matter that does not satisfy the energy conditions. In this article we propose the modelling of wormholes within an alternative gravity theory that proposes an extra material (rather than geometrical) term in its gravitational action. Our solutions are obtained from well-known particular cases of the wormhole metric potentials, named redshift and shape functions, and yield the wormholes to be filled by a phantom fluid, that is, a fluid with equation of state parameter ω < −1. In possession of the solutions for the wormhole material content, we also apply the energy conditions to them. The features of those are carefully discussed.

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Geodesic deviation equation in f(R, T) gravity

Cited by 33 publications

References 43 publications

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

An anisotropic version of Tolman VII solution in f(R, T) gravity via gravitational decoupling MGD approach

Anisotropic Karmarkar stars in f(R, T)-gravity

Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms

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