Note on a class of anisotropic Einstein metrics

Abstract

A class of anisotropic Einstein metrics is presented. These metrics are axial symmetric and contains an anisotropy parameter $\alpha$, which is identified as the amplitude of the proper acceleration of the origin, thus explaining the ellipsoid shape of the horizon.

arXiv comment6 pages, 1 figure

References in corpus (2)

• Pair of accelerated black holes in an anti-de Sitter background: the AdS C-metric
• Warped embeddings between Einstein manifolds

Cited by in corpus (2)

• Accelerating BTZ spacetime
• Novel accelerating Einstein vacua and smooth inhomogeneous Riemannian manifolds