Class I approach as MGD generator

Tello‐Ortiz, Francisco; Maurya, S. K.; Gomez-Leyton, Y.

doi:10.1140/epjc/s10052-020-7882-1

Cited by 113 publications

(50 citation statements)

References 127 publications

(45 reference statements)

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“…-The quasi first law of thermodynamics of order α, which is analogous to the quasi Einstein equations: a) . (42) This equation also has the form of the first law of thermodynamics, PdV = T d S−dU , and each term is identified as:…”

Section: Decoupling the First Law Of Thermodynamicsmentioning

confidence: 99%

A note of the first law of thermodynamics by gravitational decoupling

Estrada

Prado

2020

Eur. Phys. J. C

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We provide a way of decoupling the first law of thermodynamics in two sectors : the standard first law of thermodynamics and the quasi first law of thermodynamics. It is showed that both sectors share the same thermodynamics volume and the same entropy. However, the total thermodynamics pressure, the total temperature and the total local energy correspond to a simple sum of the thermodynamics contributions of each sector. On the other hand, turning on the coupling constant $$\alpha $$α, the total energy, given by the Noether charge, increases proportionally to this constant. Furthermore, it is showed a simple example, where, there is a phase transition between stable/unstable black hole, and, due to the application of the decoupling, it is possible to determinate that the cause of this phase transition is the behavior of the temperature at the quasi sector.

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Section: Decoupling the First Law Of Thermodynamicsmentioning

confidence: 99%

A note of the first law of thermodynamics by gravitational decoupling

Estrada

Prado

2020

Eur. Phys. J. C

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“…Sharif and Ama-Tul-Mughani [16] obtained anisotropic extensions of string cloud. In a recent paper [17], Tello-Ortiz et al built anisotropic compact models by combining the techniques of embedding classone and MGD.…”

Section: Introductionmentioning

confidence: 99%

Extended gravitational decoupled solutions in self-interacting Brans–Dicke theory

Sharif

Majid

2020

Physics of the Dark Universe

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In this paper, we formulate black hole solutions through extended gravitational decoupling scheme in the framework of self-interacting Brans-Dicke theory. The addition of a new source in the matter distribution increases the degrees of freedom in the system of field equations. Transformations in radial as well as temporal metric functions split the system into two arrays. Each array includes the effects of only one source (either seed or additional). The seed source is assumed to be a vacuum and the corresponding system is specified through the Schwarzschild metric. In order to construct a suitable solution of the second system, constraints are applied on the metric potentials and energy-momentum tensor of the additional source. We obtain three solutions corresponding to different values of the decoupling parameter in the presence of a massive scalar field. The extra source is classified as normal or exotic through energy conditions. It is found that two solutions agree with the energy bounds and thus have normal matter as their source.

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“…This condition provides an extensive tool for solving Einstein's field equations and investigate new relativistic astrophysical compact stellar structures. Recently, several solutions were obtained in the context of charged and anisotropic matter distributions with well defined compact structures for class I space-time [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] (and references contained therein).…”

Section: Introductionmentioning

confidence: 99%

An EGD model in the background of embedding class I space–time

2020

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This work is devoted to the study of relativistic anisotropic compact objects. To obtain this class of solutions of the Einstein field equations, we have developed a general scheme to generate the metric of the space–time describing the interior of the compact structure. This approach is based on the class I space–time and the extended gravitational decoupling by means of an extended geometric deformation (EGD). The class I condition provides a differential equation relating both metric potential $$\nu $$ ν and $$\lambda $$ λ , whilst the EGD translates the metric potentials to $$ \nu =\xi +\beta \,h(r)$$ ν = ξ + β h ( r ) and $$ \lambda =-\ln [\mu +\beta \,f(r)]$$ λ = - ln [ μ + β f ( r ) ] , where h(r) and f(r) are the deformation functions and $$\beta $$ β a dimensionless constant. In this case the pair $$\{\xi ,\mu \}$$ { ξ , μ } represents the seed solution satisfying the class I condition without any deformation. Once the deformed metric potentials are inserted into the class I, the main task is to obtain h(r) or f(r). So, in this case a particular ansatz for h(r) is considered in conjunction with $$\beta =0.5$$ β = 0.5 to get f(r). In order to check feasibility of our model, we have performed a thoroughly physical, mathematical and graphical analysis.

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Class I approach as MGD generator

Cited by 113 publications

References 127 publications

A note of the first law of thermodynamics by gravitational decoupling

A note of the first law of thermodynamics by gravitational decoupling

Extended gravitational decoupled solutions in self-interacting Brans–Dicke theory

An EGD model in the background of embedding class I space–time

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