On the Rotating Charged BTZ Metric
Alberto Garcia
TL;DR
This paper investigates the charged rotating BTZ black hole solution in (2+1) dimensions and demonstrates that a certain non-diagonal metric does not satisfy Einstein-Maxwell equations with a cosmological constant.
Contribution
It clarifies the conditions under which the charged rotating BTZ metric is a valid solution, ruling out specific non-diagonal configurations.
Findings
Non-diagonal charged BTZ metric is not a solution of Einstein-Maxwell equations.
Provides clarification on the solution space of charged BTZ black holes.
Highlights limitations of certain metric ansatzes in (2+1)-dimensional gravity.
Abstract
It is shown that the charged non-diagonal BTZ (2+1)-spacetime is not a solution of the Einstein-Maxwell field equations with cosmological constant.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Numerical methods for differential equations