Thermodynamic product formula for Hořava–Lifshitz black hole

We examine the thermodynamic properties of inner and outer horizons in the background of Hořava–Lifshitz black hole. We compute the horizon radii product, the surface area product, the entropy product, the surface temperature product, the Komar energy product and the specific heat product for both t...

Full description

Bibliographic Details
Main Author: Parthapratim Pradhan
Format: Article
Language:English
Published: Elsevier 2015-07-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315003913
_version_ 1818112141054443520
author Parthapratim Pradhan
author_facet Parthapratim Pradhan
author_sort Parthapratim Pradhan
collection DOAJ
description We examine the thermodynamic properties of inner and outer horizons in the background of Hořava–Lifshitz black hole. We compute the horizon radii product, the surface area product, the entropy product, the surface temperature product, the Komar energy product and the specific heat product for both the horizons. We show that surface area product, entropy product and irreducible mass product are universal (mass-independent) quantities, whereas the surface temperature product, Komar energy product and specific heat product are not universal quantities because they all depend on mass parameter. We further study the stability of such black hole by computing the specific heat for both the horizons. It has been observed that under certain condition the black hole possesses second order phase transition.
first_indexed 2024-12-11T03:14:13Z
format Article
id doaj.art-78337d76b22c4021a3f5cc495f4d1542
institution Directory Open Access Journal
issn 0370-2693
1873-2445
language English
last_indexed 2024-12-11T03:14:13Z
publishDate 2015-07-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-78337d76b22c4021a3f5cc495f4d15422022-12-22T01:22:49ZengElsevierPhysics Letters B0370-26931873-24452015-07-01747C646710.1016/j.physletb.2015.05.054Thermodynamic product formula for Hořava–Lifshitz black holeParthapratim PradhanWe examine the thermodynamic properties of inner and outer horizons in the background of Hořava–Lifshitz black hole. We compute the horizon radii product, the surface area product, the entropy product, the surface temperature product, the Komar energy product and the specific heat product for both the horizons. We show that surface area product, entropy product and irreducible mass product are universal (mass-independent) quantities, whereas the surface temperature product, Komar energy product and specific heat product are not universal quantities because they all depend on mass parameter. We further study the stability of such black hole by computing the specific heat for both the horizons. It has been observed that under certain condition the black hole possesses second order phase transition.http://www.sciencedirect.com/science/article/pii/S0370269315003913Entropy productArea productHořava–Lifshitz Black HoleKehagias–Sfetsos Black Hole
spellingShingle Parthapratim Pradhan
Thermodynamic product formula for Hořava–Lifshitz black hole
Physics Letters B
Entropy product
Area product
Hořava–Lifshitz Black Hole
Kehagias–Sfetsos Black Hole
title Thermodynamic product formula for Hořava–Lifshitz black hole
title_full Thermodynamic product formula for Hořava–Lifshitz black hole
title_fullStr Thermodynamic product formula for Hořava–Lifshitz black hole
title_full_unstemmed Thermodynamic product formula for Hořava–Lifshitz black hole
title_short Thermodynamic product formula for Hořava–Lifshitz black hole
title_sort thermodynamic product formula for horava lifshitz black hole
topic Entropy product
Area product
Hořava–Lifshitz Black Hole
Kehagias–Sfetsos Black Hole
url http://www.sciencedirect.com/science/article/pii/S0370269315003913
work_keys_str_mv AT parthapratimpradhan thermodynamicproductformulaforhoravalifshitzblackhole