On the Thermodynamical Black Hole Stability in the Space-time of a Global Monopole in $f(R)$-Gravity

Abstract

In this work, we re-assess a class of black hole solutions in a global monopole spacetime in the framework of an $f(R)$-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such that the weak field approximation is still valid. The stability of the black hole is studied in terms of its thermodynamical properties, with the radial coordinate written as a power law function with the status of the main factor underneath the stability of the model. We obtain the explicit expressions for the thermodynamical quantities of the black hole as functions of the event horizon, by considering both the Hawking and the local temperatures. The phase transitions that may occur in this system, including the Hawking-Page phase transition, are inspected with particular attention. We work out and contemplate a solution of special interest in which one of the parameters is related to the cosmological constant. Our main result sets out to establish a comparison between both the Hawking and the local formalisms for the black hole in the framework of the $f(R)$-gravity in the particular space-time adopted here.

arXiv commentarXiv admin note: text overlap with arXiv:1510.08176

References in corpus (21)

• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Interferometric detection of gravitational waves: the definitive test for General Relativity
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• A flow equation for f(R) gravity and some of its exact solutions
• Black hole entropy in scalar-tensor and f(R) gravity: an overview
• The thermodynamic quantities of a black hole with an $f(R)$ global monopole
• Gravitational Field of a Global Monopole in a Modified Gravity
• On the motion of a test particle around a global monopole in a modified gravity
• A conical deficit in the AdS4/CFT3 correspondence
• A novel black hole mimicker: a boson star and a global monopole nonminimally coupled to gravity
• Can f(R) gravity contribute to (dark) radiation?
• DBI equations and holographic DC conductivity
• Static strings in global AdS space and quark anti-quark potential
• Equation of state of dark energy in f(R) gravity

Cited by in corpus (1)

• Multiplicative Noise in Euclidean Schwarzschild Manifold