Traversable asymptotically flat wormholes in Rastall gravity

Moradpour, H.; Sadeghnezhad, N.; Hendi, S. H.

doi:10.1139/cjp-2017-0040

Cited by 133 publications

(83 citation statements)

References 77 publications

(130 reference statements)

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“…Here, ρ e , p e r and p e t are the effective density and pressures corresponding to the source with the energymomentum tensor T µ ν , respectively [21]. The usual Einstein general relativity can be recovered in the appropriate limit of λ → 0.…”

Section: Rastall Theory Of Gravitymentioning

confidence: 99%

“…For the case of ρ = p = 0, these equations are trivially consistent. The first possibility, i.e 4λ = 1, is ruled out based on the discussions in [21]. Regarding the second possibility, the black hole surrounding matter has an effective behavior as the same as the cosmological constant.…”

Section: Black Hole Solutions In Rastall-maxwell Theorymentioning

confidence: 99%

“…It is found that some exact solutions can be obtained in which some of these solutions are the same as the solutions which are obtained in the context of k-essence theory. Also, the asymptotically flat traversable wormhole solutions are investigated in [21] where it is shown that the parameters of Rastall theory affect the parameters of the wormhole spacetime.…”

Section: Introductionmentioning

confidence: 99%

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Black hole solutions in Rastall theory

2017

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The Reissner-Nordström black hole solution in a generic cosmological constant background in the the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum field equations of the Rastall theory for a spherical symmetric spacetime, rather than its ad-hoc introduction in the usual Einstein and Einstein-Maxwell field equations. The usual Reissner-Nordström, Schwarzschild and Schwarzschild-(anti)de Sitter black hole solutions in the framework of this theory are also addressed as the special independent subclasses of the obtained general solution.

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Section: Rastall Theory Of Gravitymentioning

confidence: 99%

Section: Black Hole Solutions In Rastall-maxwell Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Black hole solutions in Rastall theory

2017

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“…Other interesting a e-mail: cordac.galilei@gmail.com issues are that Rastall gravity seems to do not suffer from the entropy and age problems of standard cosmology [23] and is consistent with the gravitational lensing phenomena [24,25]. Further interesting works on Rastall gravity are given by [26][27][28][29][30] and references within.Differently from Einstein gravity, Rastall gravity considers a non-divergence-free energy-momentum . A different, but similar theory is the so called Curvature-matter theory of gravity [31][32][33][34][35].…”

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confidence: 99%

Einstein and Rastall theories of gravitation in comparison

Darabi

Moradpour

Licata³

et al. 2018

Eur. Phys. J. C

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178

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We profit by a recent paper of Visser claiming that Rastall gravity is equivalent to Einstein gravity to compare the two gravitational theories in a general way. Our conclusions are different from Visser's ones. We indeed argue that these two theories are not equivalent. In fact, Rastall theory of gravity is an "open" theory when compared to Einstein general theory of relativity. Thus, it is ready to accept the challenges of observational cosmology and quantum gravity.The framework of extended theories of gravity [1][2][3][4][5] is today considered an useful and popular approach to attempt to solve the important problems of the standard model of cosmology like Dark Energy [6,7] and Dark Matter [8,9]. A key point is that all of the potential alternatives to Einstein's general theory of relativity (GTR) must be viable. This implies that alternative theories must be in agreement with the Einstein's equivalence principle, which has today a strong, unchallengeable empirical evidence [2]. The fundamental consequence is that the alternatives to Einstein gravity must be metric theories [2]. Another important point is that such alternatives must pass the solar system tests. Hence, deviations from the standard GTR must be weak [1,2].Within the framework of extended gravity, one finds the theory proposed by Rastall in 1972 [10], which recently obtained a renewed interest in the literature [11][12][13][14]. This interest is due to some good behavior of the Rastall theory. In fact, on one hand it seems in good agreement with observational data on the Universe age and on the Hubble parameter [15]. On the other hand it may, in principle, provide an alternative description for the matter dominated era with respect to the GTR [16]. Observational data from the helium nucleosynthesis seem also in agreement with Rastall gravity [17]. Based on these observational evidences, there have been some recently studies of the various cosmic eras in the framework of Rastall gravity [18][19][20][21][22]. Other interesting a e-mail: cordac.galilei@gmail.com issues are that Rastall gravity seems to do not suffer from the entropy and age problems of standard cosmology [23] and is consistent with the gravitational lensing phenomena [24,25]. Further interesting works on Rastall gravity are given by [26][27][28][29][30] and references within.Differently from Einstein gravity, Rastall gravity considers a non-divergence-free energy-momentum . A different, but similar theory is the so called Curvature-matter theory of gravity [31][32][33][34][35]. In this theory the matter and geometry are coupled to each other in a non-minimal way [31][32][33][34][35]. Then, the standard energy-momentum conservation law does not work in this case too [31][32][33][34][35].In a recent paper [36], Visser claimed that Rastall gravity is equivalent to Einstein gravity. In this letter, we argue that these two theories are not equivalent instead. Let us see the key points of our interpretation.Rastall did not define a new energy-momentum tensor (EMT) in his origina...

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Isotropic compact stars model in Rastall theory admitting conformal motion

Abbas

Shahzad

2018

Astrophys Space Sci

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Traversable asymptotically flat wormholes in Rastall gravity

Cited by 133 publications

References 77 publications

Black hole solutions in Rastall theory

Black hole solutions in Rastall theory

Einstein and Rastall theories of gravitation in comparison

Isotropic compact stars model in Rastall theory admitting conformal motion

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