Warped vacuum energy by black holes

Abstract

The belief still persists, at least for an important part of the community, that in general relativity the cosmological constant $\Lambda$ must remain immaculate. However, Bianchi identities show that $\Lambda$ could acquire local properties in the presence of matter, i.e., $\Lambda \to \Lambda (x^{\mu })$. In this paper we go even further, and we show that a non-uniform vacuum energy does not even require coexistence with any additional form of matter-energy, nor of any theory beyond general relativity, at least for extreme environments, such as the proximity of a black hole.

5 pages, 5 figures

References in corpus (5)

• Rotating regular black holes
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Kerr-de Sitter Universe
• Kerr-de Sitter Black Hole Revisited
• Spinning superconducting electrovacuum soliton

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• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• On static and rotating decoupled black holes without inner horizons
• An Interior Solution for the Kerr Metric: A Novel Approach