Thermodynamics of (1+1) dilatonic black holes in global flat embedding scheme

TL;DR

This paper investigates the thermodynamics of (1+1) dimensional dilatonic black holes using global flat embedding schemes, deriving consistent entropy expressions and revealing universal embedding structures.

Contribution

It introduces a method to compute consistent entropy for charged dilatonic black holes and shows universal embedding structures for higher order cases.

Findings

Derived a geometrical entropy correction for charged dilatonic black holes.

Established (3+2) global flat embedding structures for higher order dilatonic black holes.

Demonstrated the universality of the entropy and embedding structures regardless of lapse function details.

Abstract

We study thermodynamics of (1+1) dimensional dilatonic black holes in global embedding Minkowski space scheme. Exploiting geometrical entropy correction we construct consistent entropy for the charged dilatonic black hole. Moreover, (1+1) dilatonic black holes with higher order terms are shown to possess (3+2) global flat embedding structures regardless of the details of the lapse function, and to yield a generic entropy.