Black hole solutions in double field theory

TL;DR

This paper explores black hole solutions within double field theory, introducing a classification method and analyzing the effects of a cosmological constant and strong constraint on spacetime curvature and singularities.

Contribution

It presents a new solution-generating method and classifies black holes in double field theory, incorporating space/time split techniques and analyzing curvature in doubled spacetime.

Findings

Generalized AdS vacuum in doubled spacetime

Black holes and singularities in subspace

Solution-generating method for black holes

Abstract

In this paper, we study black hole solutions in double field theory. In the first part, we introduce a solution-generating method and classify black hole solutions into three categories in standard double field theory. To solve the problem of double time, we utilize space/time split double field theory in the second part to derive black hole solutions. By introducing a cosmological constant and imposing the strong constraint, our findings indicate that when considering the entire doubled spacetime, the curvature signifies a generalized AdS vacuum. However, in the subspace of the entire spacetime, black holes and curvature singularities emerge.