Eur. Phys. J. C (2018) 78: 751
https://doi.org/10.1140/epjc/s10052-018-6241-y

Regular Article - Theoretical Physics

Black branes in four-dimensional conformal equivalent theories

¹ Center for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu, 6100064, China
² Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
³ Department of Mathematics and Natural Sciences, Core Curriculum Program, Prince Mohammad Bin Fahd University, Al Khobar, 31952, Kingdom of Saudi Arabia
⁴ Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban, 4000, Republic of South Africa

^* e-mail: anpaliat@phys.uoa.gr

Received: 26 July 2018
Accepted: 10 September 2018
Published online: 18 September 2018

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.