Nernst branes in gauged supergravity

TL;DR

This paper constructs new extremal black brane solutions, including Nernst branes with zero entropy density, within N=2 U(1) gauged supergravity, and explores related non-extremal generalizations using first-order flow equations.

Contribution

It introduces novel extremal black brane solutions, notably Nernst branes, in gauged supergravity using a first-order formalism, expanding the understanding of such configurations.

Findings

Constructed Nernst branes with zero entropy density.

Developed a first-order formalism for extremal and non-extremal solutions.

Provided explicit examples of extremal black brane solutions.

Abstract

We study static black brane solutions in the context of N = 2 U(1) gauged supergravity in four dimensions. Using the formalism of first-order flow equations, we construct novel extremal black brane solutions including examples of Nernst branes, i.e. extremal black brane solutions with vanishing entropy density. We also discuss a class of non-extremal generalizations which is captured by the first-order formalism.