Black hole solutions in double field theory

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.

V2: 30 pages, 1 figures, minor changes, comments added; V3: 31 pages, 1 figures, comments added, version to appear in Eur. Phys. J. C;