Reissner-Nordstrom black hole in dark energy background
Ngangbam Ishwarchandra, Ng. Ibohal, K. Yugindro Singh

TL;DR
This paper presents a new stationary solution to Einstein's equations describing a Reissner-Nordstrom black hole embedded in a dark energy background, analyzing its geometric and physical properties.
Contribution
It introduces a novel Reissner-Nordstrom-dark energy black hole solution and explores its Petrov type, energy-momentum tensor, and horizon characteristics.
Findings
Space-time is Petrov type D.
Dark energy violates strong energy condition.
Black hole horizons exhibit specific surface gravity properties.
Abstract
In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy solution producing Reissner-Nordstrom-dark energy black hole. We find that the space-time geometry of Reissner-Nordstrom-dark energy solution is Petrov type in the classification of space-times. It is also shown that the embedded space-time possesses an energy-momentum tensor of the electromagnetic field interacting with the dark energy having negative pressure. We find the energy-momentum tensor for dark energy violates the the strong energy condition due to the negative pressure, whereas that of the electromagnetic field obeys the strong energy condition. It is shown that the time-like vector field for an observer in the Reissner-Nordstrom-dark…
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Astrophysical Phenomena and Observations
