Lorentzian Wormholes in the Friedman-Robertson-Walker Universe
Behrouz Mirza, Mehdi Eshaghi, Shahram Dehdashti
TL;DR
This paper derives metrics for Lorentzian wormholes within the FRW universe, demonstrating that de Sitter cases require Phantom Energy and analyzing scalar wave equations in these backgrounds.
Contribution
It introduces new Lorentzian wormhole solutions in the FRW universe and explores their properties, including energy conditions and wave equations.
Findings
Wormhole metrics in FRW universe derived
De Sitter wormholes supported by Phantom Energy
Separable wave equation for scalar fields in these backgrounds
Abstract
The metric of some Lorentzian wormholes in the background of the FRW universe is obtained. It is shown that for a de Sitter space-time the new solution is supported by Phantom Energy. The wave equation for a scalar field in such backgrounds is separable. The form of the potential for the Schr\"{o}dinger type one dimensional wave equation is found.
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