Black Hole Entropy for Two Higher Derivative Theories of Gravity

Bellini, Emilio; Criscienzo, R. Di; Sebastiani, Lorenzo; Zerbini, Sergio

doi:10.3390/e12102186

Cited by 16 publications

(14 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which can be used to find the Killing-Hawking temperature T K = κ K /2π. With regard to the black hole entropy associated with the event horizon of the Clifton-Barrow solution, from the Wald formula in Equation (51) we find [46]:…”

Section: The Clifton-barrow Solutionmentioning

confidence: 99%

Energy issue for a class of modified higher order gravity black hole solutions

et al. 2011

View full text Add to dashboard Cite

In the case of a large class of static, spherically symmetric black hole solutions in higher order modified gravity models, an expression for the associated energy is proposed and identified with a quantity proportional to the constant of integration, which appears in the explicit solution. The identification is achieved making use of derivation of the First Law of black hole thermodynamics from the equations of motion, evaluating independently the entropy via Wald method and the Hawking temperature via quantum mechanical methods in curved space-times. Several non trivial examples are discussed, including a new topological higher derivative black hole solution, and the proposal is shown to work in all examples considered.

show abstract

Section: The Clifton-barrow Solutionmentioning

confidence: 99%

Energy issue for a class of modified higher order gravity black hole solutions

et al. 2011

View full text Add to dashboard Cite

show abstract

“…We have chosen Q = R here for simplicity. It is exactly the same type of property that the Weyl and Cotton tensors have in spherical symmetry [45][46][47], except that here the property is quite trivial. See [48,49] for more details in the case of spherical symmetry.…”

Section: Action and Equations Of Motionmentioning

confidence: 77%

A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce

2017

Self Cite

View full text Add to dashboard Cite

Abstract:Recently the so-called mimetic gravity approach has been used to obtain corrections to the Friedmann equation of General Relativity similar to the ones present in loop quantum cosmology. In this paper, we propose an alternative way to derive this modified Friedmann equation via the so-called non-polynomial gravity approach, which consists of adding geometric non-polynomial higher derivative terms to Hilbert-Einstein action, which are nonetheless polynomials and lead to a second-order differential equation in Friedmann-Lemaître-Robertson-Walker space-times. Our explicit action turns out to be a realization of the Helling proposal of effective action with an infinite number of terms. The model is also investigated in the presence of a non-vanishing cosmological constant, and a new exact bounce solution is found and studied.

show abstract

“…of the DST black hole with metric in the form (3.5). The variational derivative of the Lagrangian is given by [63]:…”

Section: Thermodynamics Of the Dst Black Holementioning

confidence: 99%

Information geometry on the space of equilibrium states of black holes in higher derivative theories

Vetsov

2019

Eur. Phys. J. C

View full text Add to dashboard Cite

We study the information-geometric properties of the Deser-Sarioglu-Tekin black hole, which is a higher derivative gravity solution with contributions from a non-polynomial term of the Weyl tensor to the Einstein-Hilbert Lagrangian. Our investigation is focused on deriving the relevant information metrics and their scalar curvatures on the space of equilibrium states. The analysis is conducted within the framework of thermodynamic information geometry and shows highly non-trivial statistical behavior. Furthermore, the quasilocal formalism, developed by Brown and York, was successfully implemented in order to derive the mass of the Deser-Sarioglu-Tekin black hole.

show abstract

Black Hole Entropy for Two Higher Derivative Theories of Gravity

Cited by 16 publications

References 51 publications

Energy issue for a class of modified higher order gravity black hole solutions

Energy issue for a class of modified higher order gravity black hole solutions

A Non-Polynomial Gravity Formulation for Loop Quantum Cosmology Bounce

Information geometry on the space of equilibrium states of black holes in higher derivative theories

Contact Info

Product

Resources

About