The thermodynamic quantities of a black hole with an $f(R)$ global monopole

Abstract

The thermodynamic quantities such as the local temperature, heat capacity, off-shell free energy and the stability of a black hole involving a global monopole within or outside the $f(R)$ gravity are examined. We compare the two classes of results to show the influence from the generalization of the general relativity. It is found that the $f(R)$ theory will modify the thermodynamic properties of black holes, but the shapes of curves for thermodynamic quantities with respect to the horizon are similar to the results within the frame of general relativity. In both cases there will exist a small black hole which will decay and a large stable black hole in the case that the temperatures are higher than their own critical temperature.

8 pages, 7 figures

References in corpus (4)

• f(R) gravity theories in Palatini formalism: cosmological dynamics and observational constraints
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Phase transition of quantum corrected Schwarzschild black hole
• Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole

Cited by in corpus (22)

• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Thermodynamic phase transition of a black hole in rainbow gravity
• Global Monopole in Palatini f(R) gravity
• Gravitational field of global monopole within the Eddington-inspired Born-Infeld theory of gravity
• $f(R)$ global monopole revisited
• Nonlinear $\sigma$-models in the Eddington-inspired Born-Infeld Gravity
• Thermodynamics and phase transition of charged AdS black holes with a global monopole
• Global monopole in a Ricci-coupled Kalb-Ramond bumblebee gravity
• Quantum probes of timelike naked singularities in the weak field regime of $f(R)$ global monopole spacetime
• Cloud of strings in f(R) gravity
• Scalar and spinor quasinormal modes of an $f(R)$ global monopole
• Modified Rindler acceleration as a nonlinear electromagnetic effect
• Rindler type acceleration in f(R) gravity
• Thermodynamics of Black holes With Higher Order Corrected Entropy
• Nonminimal global monopole
• The fragmentation instability of a black hole with $f(R)$ global monopole under GUP
• The tunneling radiation of a black hole with a $f(R)$ global monopole under generalized uncertainty principle
• Thermal stability of a special class of black hole solutions in F(R) gravity
• The neutrino pair annihilation ($\nu \bar{\nu }⟶e^{-}{e}^{+}$)around a massive source with an $f(R)$ global monopole
• Scalar resonant frequencies and Hawking effect of an $f(R)$ global monopole
• On the Thermodynamical Black Hole Stability in the Space-time of a Global Monopole in $f(R)$-Gravity
• The instability of a black hole with $f(R)$ global monopole under extended uncertainty principle