Analytical general solutions for static wormholes inf(R,T) gravity

Moraes, P. H. R. S.; Correa, R. A. C.; Lobato, Ronaldo V.

doi:10.1088/1475-7516/2017/07/029

Cited by 188 publications

(96 citation statements)

References 97 publications

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“…As regards the matter content of the present WH solutions, we would like to highlight that, departing from what can be found in the f (R, T ) WH literature [22][23][24][25][26][27], no equation of state (EoS) was assumed in this article. Since the WH EoS is still poorly known, this is a considerable advantage of the present solutions.…”

Section: Discussionmentioning

confidence: 85%

Wormholes in $$R^2$$ R 2 -gravity within the f(R, T) formalism

2018

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We propose, as a novelty in the literature, the modeling of wormholes within a particular case of f (R, T ) gravity, namely f (R, T ) = R + α R 2 + λT , with R and T being the Ricci scalar and trace of the energy-momentum tensor, respectively, while α and λ are constants. Although such a functional form application can be found in the literature, those concern compact astrophysical objects, such that no wormhole analysis has been done so far. The quadratic geometric and linear material corrections of this theory render the matter content of the wormhole remarkably able to obey the energy conditions.

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Section: Discussionmentioning

confidence: 85%

Wormholes in $$R^2$$ R 2 -gravity within the f(R, T) formalism

2018

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“…Therefore, in such theories, wormholes can be supported by matter which satisfies all the energy conditions but violates the convergence condition. See [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] and references therein for some such examples. Also see [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] for some recent works on different aspects of wormholes.…”

Section: Introductionmentioning

confidence: 99%

Wormholes with nonexotic matter in Born-Infeld gravity

Shaikh

2018

Phys. Rev. D

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We show that, in contrast to general relativity, in Eddington-inspired Born-Infeld gravity (EiBI), a violation of the null convergence condition does not necessarily lead to a violation of the null energy condition, by establishing a relationship between them. This serves as a motivation for finding wormhole solutions which can be supported by nonexotic matter in this gravity theory. We then obtain exact solutions of the field equations in EiBI gravity coupled to arbitrary nonlinear electrodynamics and anisotropic fluids. Depending on the signs and values of different parameters, the general solutions can represent both black holes and wormholes. In this work, we analyze the wormhole solutions. These wormholes are supported by nonexotic matter, i.e., matter satisfying all the energy conditions. As special cases of our general solutions, we work out several specific examples by considering Maxwell, power-law, Born-Infeld electrodynamics models and a particular form of an anisotropic fluid. * rajibul.shaikh@tifr.res.in

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“…In Ref. [62], the existence of the wormhole solutions and its different properties in f (R, T ) theory gravity has been discussed.…”

Section: Introductionmentioning

confidence: 99%

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

et al. 2017

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In this paper, we discuss spherically symmetric wormhole solutions in f (R, T ) modified theory of gravity by introducing well-known non-commutative geometry in terms of Gaussian and Lorentzian distributions of string theory. For analytic discussion, we consider an interesting model of f (R, T ) gravity defined by f (R, T ) = f 1 (R) + λT . By taking two different choices for the function f 1 (R), that is, f 1 (R) = R and f 1 (R) = R + α R 2 + γ R n , we discuss the possible existence of wormhole solutions. In the presence of non-commutative Gaussian and Lorentzian distributions, we get exact and numerical solutions for both these models. By taking appropriate values of the free parameters, we discuss different properties of these wormhole models analytically and graphically. Further, using an equilibrium condition, it is found that these solutions are stable. Also, we discuss the phenomenon of gravitational lensing for the exact wormhole model and it is found that the deflection angle diverges at the wormhole throat.

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Analytical general solutions for static wormholes inf(R,T) gravity

Cited by 188 publications

References 97 publications

Wormholes in $$R^2$$ R 2 -gravity within the f(R, T) formalism

Wormholes in $$R^2$$ R 2 -gravity within the f(R, T) formalism

Wormholes with nonexotic matter in Born-Infeld gravity

Existence of stable wormholes on a non-commutative-geometric background in modified gravity

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