Black branes in four-dimensional conformal equivalent theories

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.

12 pages, no figures

References in corpus (29)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Covariant Galileon
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Solar System constraints to general f(R) gravity
• Conformal Transformations with Multiple Scalar Fields
• Equivalence of the Einstein and Jordan frames
• Brans-Dicke wormholes in the Jordan and Einstein frames
• Physical non-equivalence of the Jordan and Einstein frames
• New observational constraints on $f(R)$ gravity from cosmic chronometers
• Spherically Symmetric Solutions to Fourth-Order Theories of Gravity
• Theory of gravitation theories: a no-progress report
• Generalized Brans-Dicke theories
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• Spherically symmetric brane spacetime with bulk $f(\mathcal{R})$ gravity
• Constraining f(R) gravity in solar system, cosmology and binary pulsar systems
• Invariant solutions and Noether symmetries in Hybrid Gravity
• On black strings & branes in Lovelock gravity
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Ghost-Free $F(R)$ Gravity with Lagrange Multiplier Constraint
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential
• Dynamical symmetries in Brans-Dicke cosmology
• Jordan frame no-hair for spherical scalar-tensor black holes
• Comments on "Solar System constraints to general f(R) gravity"
• Generalized Brans-Dicke Theory: A Dynamical Systems Analysis
• (Compactified) black branes in four dimensional f(R)-gravity
• On the equivalence between different canonical forms of F(R) theory of gravity

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• Dynamical equivalence of $f(R)$ gravity in Jordan and Einstein frames
• Cosmological Evolution of Two-Scalar fields Cosmology in the Jordan frame
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Pure geometric $f(R)$ branes