Cylindrical solutions in braneworld gravity
S. Khoeini-Moghaddam, M. Nouri-Zonoz
TL;DR
This paper explores exact cylindrically symmetric solutions within brane world gravity, revealing conditions under which these solutions resemble Einstein-Maxwell solutions in four-dimensional general relativity.
Contribution
It presents new exact solutions in brane world gravity under specific dark energy and pressure conditions, linking them to classical Einstein-Maxwell solutions.
Findings
Solutions are formally equivalent to Einstein-Maxwell solutions.
Special equation of state simplifies the modified Einstein equations.
Provides exact cylindrically symmetric solutions in brane world scenarios.
Abstract
In this article we investigate exact cylindrically symmetric solutions to the modified Einstein field equations in the brane world gravity scenarios. It is shown that for the special choice of the equation of state for the dark energy and dark pressure, the solutions found could be considered formally as solutions of the Einstein-Maxwell equations in 4-D general relativity.
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