A causal Schwarzschild-de Sitter interior solution by gravitational decoupling

Gabbanelli, Luciano; Ovalle, J.; Sotomayor, A.; Stuchlík, Zdeněk; Casadio, Roberto

doi:10.1140/epjc/s10052-019-7022-y

Cited by 116 publications

(45 citation statements)

References 65 publications

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“…Thus, our method is an easy algorithm to search new analytical solutions of physical interest in Pure Lovelock gravity. In Einstein Hilbert theory, the Gravitational Decoupling method of reference [5] have been used to find new 4D black hole solutions in references [14][15][16][17][18] and new 4D well behaved solutions that represent stellar distributions in references [6][7][8][9][10][11][12][13]27]. So, inspired by this method, we have presented a useful tool that could serve to find new black hole solutions or stellar distributions in space times with a number of dimensions greater than four, and in presence of higher curvature correction terms.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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A way of decoupling gravitational sources in pure Lovelock gravity

Estrada

2019

Eur. Phys. J. C

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We provide an algorithm that shows how to decouple gravitational sources in Pure Lovelock gravity. This method allows to obtain several new and known analytic solutions of physical interest in scenarios with extra dimensions and with presence of higher curvature terms. Furthermore, using our method, it is shown that applying the minimal geometric deformation to the Anti de Sitter space time it is possible to obtain regular black hole solutions.PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

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Section: Conclusion and Discussionmentioning

confidence: 99%

“…Other examples of applications of the method are: solutions in Einstein Klein Gordon system [19]; solutions in f (G) gravity [20]; solutions in f (R) gravity [21],cloud of strings solutions [22]. See other applications in references [23][24][25][26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

A way of decoupling gravitational sources in pure Lovelock gravity

Estrada

2019

Eur. Phys. J. C

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“…e −λ → e −λ = e −λ + βg(r ). (23) where f (r ) and g(r ) are the deformation functions associated with the temporal and radial components of line elements, respectively. It is noted that these deformation functions depend only on radial coordinate while constant β is a free parameter.…”

Section: Einstein Equations For Two Sourcesmentioning

confidence: 99%

“…In this connection, several other authors have used the MGD approach to discover the more complex solution which can be seen in the following Refs. [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. The GD was developed by Ovalle [25,26] as a consequence of the Minimal Geometric Deformation (MGD) [24,27] (see also Ref.…”

Section: Introductionmentioning

confidence: 99%

Minimally deformed anisotropic model of class one space-time by gravitational decoupling

et al. 2019

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In this article, we have presented a static anisotropic solution of stellar compact objects for selfgravitating system by using minimal geometric deformation techniques in the framework of embedding class one spacetime. For solving of this coupling system, we deform this system into two separate system through the geometric deformation of radial components for the source function λ(r) by mapping: e −λ(r) → e −λ(r) + β g(r), where g(r) is deformation function. The first system corresponds to Einstein's system which is solved by taking a particular generalized form for source functionλ(r) while another system is solved by choosing well-behaved deformation function g(r). To test the physical viability of this solution, we find complete thermodynamical observable as pressure, density, velocity, and equilibrium condition via. TOV equation etc. In addition to the above, we have also obtained the moment of inertia (I), Kepler frequency (v), compression modulus (K e) and stability for this coupling system. The M-R curve has been presented for obtaining the maximum mass and corresponding radius of the compact objects.

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“…Using this MGD approach, several authors have obtained the solutions in a more complex forms, see Refs. [63][64][65][66][67][68][69][70][71][72][73][74][75][76]. Very recently, Singh and Maurya [77] have determined the first solution of embedding class one spacetime using the minimal geometric deformation (MGD) approach for anisotropic matter distribution.…”

Section: Introductionmentioning

confidence: 99%

A completely deformed anisotropic class one solution for charged compact star: a gravitational decoupling approach

Maurya

2019

Eur. Phys. J. C

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In this article, we have investigated a new completely deformed embedding class one solution for the compact star in the framework of charged anisotropic matter distribution. For determining of this new solution, we deformed both gravitational potentials as ν → ξ + α h(r) and e −λ → e −μ + α f (r) by using Ovalle (Phys Lett B 788:213, 2019) approach. The gravitational deformation divides the original coupled system into two individual systems which are called the Einstein's system and Maxwell-system (known as quasi-Einstein system), respectively. The Einstein's system is solved by using embedding class one condition in the context of anisotropic matter distribution while the solution of Maxwell-system is determined by solving of corresponding conservation equation via assuming a well-defined ansatz for deformation function h(r). In this way, we obtain the expression for the electric field and another deformation function f (r). Moreover, we also discussed the physical validity of the solution for the coupled system by performing several physical tests. This investigation shows that the gravitational decoupling approach is a powerful methodology to generate a well-behaved solution for the compact object.

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A causal Schwarzschild-de Sitter interior solution by gravitational decoupling

Cited by 116 publications

References 65 publications

A way of decoupling gravitational sources in pure Lovelock gravity

A way of decoupling gravitational sources in pure Lovelock gravity

Minimally deformed anisotropic model of class one space-time by gravitational decoupling

A completely deformed anisotropic class one solution for charged compact star: a gravitational decoupling approach

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