Black branes in four-dimensional conformal equivalent theories

TL;DR

This paper compares black brane solutions in Einstein and Jordan frames within four-dimensional conformal theories, analyzing how physical properties like singularities, temperature, and entropy change under conformal transformations.

Contribution

It provides a detailed comparison of analytic black brane solutions in different conformal frames, highlighting differences and similarities in their physical and geometric properties.

Findings

Differences in singularity structures between frames

Variations in temperature and entropy under conformal transformations

Insights into the physical equivalence of solutions in different frames

Abstract

The physical properties of static analytic solutions which describe black brane geometries are discussed. In particular we study the similarities and differences of analytic black brane/string solutions in the Einstein and Jordan frames. The comparison is made between vacuum power law $f(R)$ gravity solutions and their conformal equivalents in the Einstein frame. In our analysis we examine how the geometrical and physical properties of these analytic axisymmetric solutions - such as singularities, the temperature and the entropy - are affected as we pass from one frame to the other.