Using MGD Gravitational Decoupling to Extend the Isotropic Solutions of Einstein Equations to the Anisotropical Domain

Heras, C. Las; León, P.

doi:10.1002/prop.201800036

Cited by 110 publications

(81 citation statements)

References 81 publications

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“…This factor arises in the final expression of the decoupler function f (r) after solve Eq. (78). In principle, this factor introduce a singular behavior at r = 0.…”

Section: B θ-Effects: Mimicking the Density For Anisotropymentioning

confidence: 99%

“…Now we proceed with the appropriated comments for the results obtained in VI B. In this respect, the mimic constraint (78) gives more interesting results than the mimic constraint (64).…”

mentioning

confidence: 93%

“…This last two years gravitational decoupling using MGD has attracted many adepts. In this respect some well known solutions (uncharged, charged) to Einstein field equations have been extended by using MGD [73][74][75][76][77][78][79][80][81][82][83]. Also, Black holes in 3 + 1 (Schwarzschild outer space-time) [84] and 2 + 1 (BTZ black hole) [85] dimensions were extended, the De (anti) Sitter space-time was worked in [86] and also the inverse problem was addressed in 3 + 1 dimensions [87] and 2 + 1 dimensions including cosmological constant [88].…”

Section: Introductionmentioning

confidence: 99%

“…1. By imposing the mimic constraint (78), the resulting junction conditions provide new insights in considering the total mass of the compact object. This time the extra piece f (r) contributes to the matching conditions.…”

mentioning

confidence: 99%

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Decoupling gravitational sources by MGD approach in Rastall gravity

Maurya

Tello‐Ortiz

2020

Physics of the Dark Universe

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In the present work, we investigate the possibility of obtaining stellar interiors for static selfgravitating systems describing an anisotropic matter distribution in the framework of Rastall gravity through gravitational decoupling by means of minimal geometric deformation approach. Due to Rastall gravity breaks down the minimal coupling matter principle, we have provided an exhaustive explanation about how Israel-Darmois junction conditions work in this scenario. Furthermore, to obtain the deformed space-time, the mimic constraint procedure has been used. In order to check the viability of this proposal, we have applied it to the well known Tolman IV solution. A complete thermodynamic description of the effects introduced by the additional source is given. Additionally, the results have been compared with their similes in the picture of pure general relativity, pure Rastall gravity and within the framework of general relativity including gravitational decoupling. To perform the mathematical and graphical analysis we have taken the gravitational decoupling constant α and the Rastall's parameter λ as free parameters and the compactness factor u to be 0.2. Applications to study neutron or quark stars are suggested by using this methodology.

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“…This factor arises in the final expression of the decoupler function f (r) after solve Eq. (78). In principle, this factor introduce a singular behavior at r = 0.…”

Section: B θ-Effects: Mimicking the Density For Anisotropymentioning

confidence: 99%

“…Now we proceed with the appropriated comments for the results obtained in VI B. In this respect, the mimic constraint (78) gives more interesting results than the mimic constraint (64).…”

mentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Decoupling gravitational sources by MGD approach in Rastall gravity

Maurya

Tello‐Ortiz

2020

Physics of the Dark Universe

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“…In recent years, there has been a growing interest in using this machinery to explore the behavior of collapsed structures, such as neutron stars and black holes in the presence of anisotropic matter distributions. Particularly, models representing perfect fluid spheres without electric charge/with electric charge have been extended to anisotropic domains [48][49][50][51][52][53][54][55][56][57][58][59]. Besides, black hole solutions have also been addressed within the MGD arena; specifically, the Schwarzschild space-time [60], BTZ manifold [61] and AdS geometry [62] have been worked.…”

Section: Introductionmentioning

confidence: 99%

Minimal geometric deformation in a Reissner–Nordström background

et al. 2019

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This article is devoted to the study of new exact analytical solutions in the background of Reissner-Nordström space-time by using gravitational decoupling via minimal geometric deformation approach. To do so, we impose the most general equation of state, relating the components of the θ-sector in order to obtain the new material contributions and the decoupler function f (r). Besides, we obtain the bounds on the free parameters of the extended solution to avoid new singularities. Furthermore, we show the finitude of all thermodynamic parameters of the solution such as the effective densityρ, radialp r and tangentialp t pressure for different values of parameter α and the total electric charge Q. Finally, the behavior of some scalar invariants, namely the Ricci R and Kretshmann R µνω R µνω scalars are analyzed. It is also remarkable that, after an appropriate limit, the deformed Schwarzschild black hole solution always can be recovered. Although the above is also true, the Schwarzschild solution is described only by the mass M parameter, the Reissner-Nordström solution [2, 3] is characterized by mass M and electric charge Q whereas the Kerr spacetime [4] is painted by mass M and angular momentum J charges. Moreover, the most general solution of this type is the Kerr-Newman space-time [5] characterized by mass M , electric charge Q, and angular momentum J. The existence of these conserved charges is supported by the non-hair conjecture [6], which states that these solutions should not carry any other charges. Nonethe-arXiv:1909.00500v1 [gr-qc]

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