Surface terms of quartic quasitopological gravity and thermodynamics of nonlinear charged rotating black branes

Bazrafshan, A.; Dehghani, M. H.; Ghanaatian, M.

doi:10.1103/physrevd.86.104043

Cited by 19 publications

(15 citation statements)

References 53 publications

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“…We use the variational method for deriving the Friedmann equation from the action principle. Using metric (8), the Lagrangian of the fourth order quasi-topological gravity can be written as…”

Section: Quasi-topological Cosmologymentioning

confidence: 99%

“…This new gravitational theory provides a useful toy model to study a broader class of four (and higher) dimensional CFT's, involving three or more independent parameters [5]. Various aspects of pth-order quasi-topological terms which have at most second order derivatives of the metric in the field equations for spherically symmetric spacetimes in five and higher dimensions except 2p dimensions have been investigated [6][7][8][9]. Nowadays, it is a general belief that there is a profound connection between the gravitational field equations and the laws of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics of quasi-topological cosmology

2013

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In this paper, we study thermodynamical properties of the apparent horizon in a universe governed by quasi-topological gravity. Our aim is twofold. First, by using the variational method we derive the general form of Friedmann equation in quasi-topological gravity. Then, by applying the first law of thermodynamics on the apparent horizon, after using the entropy expression associated with the black hole horizon in quasi-topological gravity, and replacing the horizon radius, r+, with the apparent horizon radius,rA, we derive the corresponding Friedmann equation in quasi-topological gravity. We find that these two different approaches yield the same result which show the profound connection between the first law of thermodynamics and the gravitational field equations of quasitopological gravity. We also study the validity of the generalized second law of thermodynamics in quasi-topological cosmology. We find that, with the assumption of the local equilibrium hypothesis, the generalized second law of thermodynamics is fulfilled for the universe enveloped by the apparent horizon for the late time cosmology. * mhd@shirazu.ac.ir † asheykhi@shirazu.ac.ir

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Section: Quasi-topological Cosmologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermodynamics of quasi-topological cosmology

2013

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“…Quasi-topological gravity provides a useful toy model to study a broader class of four (and higher) dimensional CFT's, involving three or more independent parameters [18]. Black hole spacetimes in higher order quasi-topological gravity which have at most second order derivatives of the metric in the field equations, have been explored and their thermodynamics have been investigated [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Horizon thermodynamics and gravitational field equations in quasi-topological gravity

Sheykhi

Dehghani

2014

Gen Relativ Gravit

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In this paper we show that the gravitational field equations of (n + 1)-dimensional topological black holes with constant horizon curvature, in cubic and quartic quasi-topological gravity, can be recast in the form of the first law of thermodynamics, dE = T dS − P dV , at the black hole horizon. This procedure leads to extract an expression for the horizon entropy as well as the energy (mass) in terms of the horizon radius, which coincide exactly with those obtained in quasi-topological gravity by solving the field equations and using the Wald's method. We also argue that this approach is powerful and can be extended to all higher order quasi-topological gravity for extracting the corresponding entropy and energy in terms of horizon radius.

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“…b , I are respectively, the proper surface terms for Hilbert-Einstein [26], Gauss-Bonnet [6,27], third order [28] and fourth order quasitopological [29] gravities that are obtained as…”

Section: Thermodynamics Of the Rotating Black Branementioning

confidence: 99%

Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with a nonlinear source

et al. 2019

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In this paper, we find the solutions of quartic quasitopological black holes and branes coupled to logarithmic and exponential forms of nonlinear electrodynamics. These solutions have an essential singularity at r = 0. Depending on the value of charge parameter q, we have an extreme black hole/brane, a black hole/brane with two horizons or a naked singularity. For small values of parameter q, the solutions lead to a black hole/brane with two horizons. The values of the horizons are independent of the values of quasitopological parameters and depend only on the values of q, dimensions n, nonlinear parameter β and mass parameter. Also, the solutions are not thermally stable for dS and flat spacetimes. However, AdS solutions are stable for r+ > r+ ext which the temperature is zero for r+ = r+ ext . The value of r+ ext also depends on the values of parameters q, β, n and m. As the value of r+ ext decreases, the region of stability becomes larger. We also use HPEM metric to probe GTD formalism for our solutions. This metric is successful to predict the divergences of the scalar curvature exactly at the phase transition points. For large values of parameter Ξ, the black hole/brane has a transition to a stable state and stays stable.

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Surface terms of quartic quasitopological gravity and thermodynamics of nonlinear charged rotating black branes

Cited by 19 publications

References 53 publications

Thermodynamics of quasi-topological cosmology

Thermodynamics of quasi-topological cosmology

Horizon thermodynamics and gravitational field equations in quasi-topological gravity

Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with a nonlinear source

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