Multidimensional Black Hole Solutions In Model With Perfect Fluid
V.D. Ivashchuk, V.N. Melnikov, A.B. Selivanov
TL;DR
This paper derives a family of multidimensional black hole solutions in a model with perfect fluid, connecting them to black brane solutions and calculating post-Newtonian parameters relevant for 4D physics.
Contribution
It introduces new multidimensional black hole solutions with perfect fluid and relates them to known black brane metrics, including specific examples like M2 and M5 branes.
Findings
Solutions include (n-1) Ricci-flat internal spaces.
Certain solutions match black brane metrics with specific equations of state.
Post-Newtonian parameters beta and gamma are computed for the 4D section.
Abstract
A family of black-hole solutions in the model with 1-component perfect fluid is obtained. The metric of any solution contains (n -1) Ricci-flat "internal space" metrics and for certain equations of state coincides with the metric of black brane (or black hole) solution in the model with antisymmetric form. Certain examples (e.g. imitating M2 and M5 black branes) are considered. The post-Newtonian parameters beta and gamma corresponding to the 4-dimensional section of the metric are calculated.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Relativity and Gravitational Theory