TL;DR
This paper investigates the thermodynamics of Einstein-DBI black holes, deriving the first law, Smarr relation, and analyzing stability within the grand canonical ensemble.
Contribution
It extends previous work by explicitly deriving thermodynamic relations and stability conditions for Einstein-DBI black holes with planar horizons.
Findings
First law of thermodynamics established for the system
Smarr relation derived for Einstein-DBI black holes
Thermodynamic stability analyzed and characterized
Abstract
We continue our study of the Einstein-Dirac-Born-Infeld system as started in \cite{Pal:2012zn}. In this paper, we studied the thermodynamical aspect of the black hole by keeping the horizon as planar in the grand canonical ensemble. In particular, we obtain the first law of thermodynamics and the Smarr type relation. Also, studied the thermodynamic stability.
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