Noncommutative geometry inspired EinsteinGaussBonnet black holes
Abstract
Low energy limits of a string theory suggests that the gravity action should include quadratic and higherorder curvature terms, in the form of dimensionally continued GaussBonnet densities. EinsteinGaussBonnet is a natural extension of the general relativity to higher dimensions in which the first and secondorder terms correspond, respectively, to general relativity and EinsteinGaussBonnet gravity. We obtain fivedimensional (5D) black hole solutions, inspired by a noncommutative geometry, with a static spherically symmetric, Gaussian mass distribution as a source both in the general relativity and EinsteinGaussBonnet gravity cases, and we also analyzes their thermodynamical properties. Owing the noncommutative corrected black hole, the thermodynamic quantities have also been modified, and phase transition is shown to be achievable. The phase transitions for the thermodynamic stability, in both the theories, are characterized by a discontinuity in the specific heat at r_+=r_{C} , with the stable (unstable) branch for r < (>) r_{C} . The metric of the noncommutative inspired black holes smoothly goes over to the BoulwareDeser solution at large distance. The paper has been appended with a calculation of black hole mass using holographic renormalization.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2018
 DOI:
 10.1088/13616382/aaaead
 arXiv:
 arXiv:1707.08174
 Bibcode:
 2018CQGra..35h5008G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 12 pages, 6 figures, 2 tables