Duality between k-essence and Rastall gravity

Бронников, К. А.; Fabris, J. C.; Piattella, Oliver F.; Rodrigues, Denis C.; Santos, Edison C.

doi:10.1140/epjc/s10052-017-4977-4

Cited by 53 publications

(62 citation statements)

References 24 publications

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“…Also, it is apparent that for a traceless energy-momentum source, such as the electromagnetic source, we have S µν = T µν which leads to G µν = κT µν . This means that the Einstein solutions for T = 0, or equivalently R = 0, are also valid in the Rastall theory of κ [13,20]. Moreover, it should be mentioned that both of the parameter cases γ = are not allowed as discussed in [17].…”

Section: Rastall Theory Of Gravitymentioning

confidence: 99%

“…For example, by special setting of the parameters of the Rastall theory, a vacuum solution possessing the same structure as the Schwarzschildde Sitter solution in the general relativity theory obtained with a cosmological constant playing the role of source [19]. In another work, the problem of finding static spherically symmetric spaces in Rastall's theory in the presence of a free or self interacting scalar field is studied [20]. 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.…”

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: Introductionmentioning

confidence: 99%

Black hole solutions in Rastall theory

2017

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“…In particular, we consider an Ellis wormhole in General Relativity [1][2][3][4][5][6][7][8]. Such a wormhole connects two asymptotically flat spacetimes by a throat.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous symmetry breaking in wormholes spacetimes with matter

et al. 2017

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When bosonic matter in the form of a complex scalar field is added to Ellis wormholes, the phenomenon of spontaneous symmetry breaking is observed. Symmetric solutions possess full reflection symmetry with respect to the radial coordinate of the two asymptotically flat spacetime regions connected by the wormhole, whereas asymmetric solutions do not possess this symmetry. Depending on the size of the throat, at bifurcation points pairs of asymmetric solutions arise from or merge with the symmetric solutions. These asymmetric solutions are energetically favoured. When the backreaction of the boson field is taken into account, this phenomenon is retained. Moreover, in a certain region of the solution space both symmetric and asymmetric solutions exhibit a transition from single throat to double throat configurations.

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“…Thus, we can combine equation (46) and equation (47) and define Here, the next step is to analyze the sign of Eq. (48).…”

Section: Weak Cosmic Censorship Conjecture With Pressure and Volumementioning

confidence: 99%

Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure*

Hu¹,

He²,

Li³

et al. 2020

Chinese Phys. B

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Treating the cosmological constant as a dynamical variable, we investigate the thermodynamics and weak cosmic censorship conjecture (WCCC) of a charged AdS black hole (BH) in the Rastall gravity. We determine the energy momentum relation of charged fermion at the horizon of the BH by using the Dirac equation. Based on this relation, we show that the first law of thermodynamics (FLT) still holds as a fermion is absorbed by the BH. However, the entropy of both the extremal and near-extremal BH decreases in the irreversible process, which means that the second law of thermodynamics (SLT) is violated. Furthermore, we verify the validity of the WCCC by the minimum values of the metric function h(r) at its final state. For the extremal charged AdS BH in the Rastall gravity, we find that the WCCC is valid always since the BH is extreme. While for the case of near-extremal BH, we find the WCCC could be violable in the extended phase space (EPS), depending on the value of the parameters of the BH and their variations.

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Duality between k-essence and Rastall gravity

Cited by 53 publications

References 24 publications

Black hole solutions in Rastall theory

Black hole solutions in Rastall theory

Spontaneous symmetry breaking in wormholes spacetimes with matter

Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure*

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