A way of decoupling gravitational sources in pure Lovelock gravity

Estrada, Milko

doi:10.1140/epjc/s10052-019-7444-6

Cited by 84 publications

(35 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(15) with α = 0 and μ =μ, whereas, the conservation equation is given by the Eq. (17). A complete analysis of the gravitational decoupling method when de metric components g tt = g −1 rr can be found in references [1,3].…”

Section: A Brief Review Of the Gravitational Decoupling Methodsmentioning

confidence: 99%

“…and the respective conservation equation (17). -The terms of order α give rise to the following quasi-Einstein equations [1], which include the source θ μν :…”

Section: A Brief Review Of the Gravitational Decoupling Methodsmentioning

confidence: 99%

“…The source A represents a e-mail: milko.estrada@ua.cl (corresponding author) b e-mail: reginaldo.prado@ua.cl to the seed sector and the source B represents to the extra sector. Since its appearance, this method has served to find several new solution of physical interest, as for example well behaved solutions that could represent stellar distributions [3][4][5][6][7][8][9][10][11], black hole solutions [12][13][14], f (G) gravity [15], Einstein Klein Gordon System [16], Pure Lovelock gravity [17], f (R, T ) gravity [18], f (R) gravity [19]. See other applications .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A note of the first law of thermodynamics by gravitational decoupling

Estrada

Prado

2020

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: A Brief Review Of the Gravitational Decoupling Methodsmentioning

confidence: 99%

“…and the respective conservation equation (17). -The terms of order α give rise to the following quasi-Einstein equations [1], which include the source θ μν :…”

Section: A Brief Review Of the Gravitational Decoupling Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A note of the first law of thermodynamics by gravitational decoupling

Estrada

Prado

2020

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

show abstract

“…Applying the MGD-decoupling to the metric tensor of a kernel solution of Einstein's effective field equations, one can realize sources that are split into a core solution and an ancillary source solution. Applying the gravitational MGD-decoupling algorithm to core solutions engenders new physically realistic solutions, including several sorts of stars and their final collapse into black holes [24][25][26][27][28][29][30]. MGD-decoupled analog models of gravity were proposed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Gravitational decoupling and superfluid stars

Rocha

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

The gravitational decoupling is applied to studying minimal geometric deformed (MGD) compact superfluid stars, in covariant logarithmic scalar gravity on fluid branes. The brane finite tension is shown to provide more realistic values for the asymptotic value of the mass function of MGD superfluid stars, besides constraining the range of the self-interacting scalar field, minimally coupled to gravity. Several other physical features of MGD superfluid stars, regulated by the finite brane tension and a decoupling parameter, are derived and discussed, with important corrections to the general-relativistic limit that corroborate to current observational data.

show abstract

“…Specifically, the method allows to study gravitational systems whose modified Einstein‐Hilbert action is given by

S = \int [\frac{R}{2 k^{2}} + scriptL] \sqrt{- g} d^{4} x + α (correction) .

Thus, the energy momentum tensor is given by

{\overset{T}{true}}_{μ ν} = T_{μ ν} + α θ_{μ ν},

where the source

θ_{μ ν}

could have different interpretations, for example another matter fluid (see for example [43–49]), the coupling of Einstein's equations with other fields like a Klein‐Gordon scalar field (see [50]), the corrections coming from gravitational theories beyond GR (for example [51–56]).…”

Section: Introductionmentioning

confidence: 99%

Braneworld‐Klein‐Gordon System in the Framework of Gravitational Decoupling

León

Sotomayor

2021

Fortschritte der Physik

View full text Add to dashboard Cite

We analyze the effective field equations of the Randall-Sundrum braneworld coupled with a Klein-Gordon scalar field through the minimal geometric deformation decoupling method (MGD-decoupling). We introduce two different ways to apply the MGD-decoupling method to obtain new solutions for this enlarged system. We also compare the behavior of the new solutions with those obtained directly from the Randall-Sumdrum braneworld without coupling to the scalar field.

show abstract

A way of decoupling gravitational sources in pure Lovelock gravity

Cited by 84 publications

References 54 publications

A note of the first law of thermodynamics by gravitational decoupling

A note of the first law of thermodynamics by gravitational decoupling

Gravitational decoupling and superfluid stars

Braneworld‐Klein‐Gordon System in the Framework of Gravitational Decoupling

Contact Info

Product

Resources

About