A topologically charged four-dimensional wormhole and the energy conditions

Faizuddin Ahmed

doi:10.1088/1475-7516/2023/11/082

paper

A topologically charged four-dimensional wormhole and the energy conditions

arXiv:2308.00012 · doi:10.1088/1475-7516/2023/11/082

Abstract

In this research work, our primary focus revolves around the examination of a specific category of traversable wormholes known as topologically charged generalized Schwarzschild-Simpson-Visser-type wormhole, $d s^{2} = - (1 - \frac{2 M}{x ^{2} + b ^{2}}) d t^{2} + (1 - \frac{2 M}{x ^{2} + b ^{2}})^{- 1} (\frac{d x ^{2}}{α ^{2}}) + (x^{2} + a^{2}) (d θ^{2} + sin^{2} θ d ϕ^{2})$ . This wormhole is uniquely defined by a pair of key parameters (length scales $a$ and $b$ ), together with the global monopole charge $α$ . A noteworthy outcome of our investigation is the observation that the energy-momentum tensor associated with this wormhole complies with both the weak energy condition (WEC) and the null energy condition (NEC). Furthermore, incorporation of global monopole charge introduces a substantial influence on the curvature properties of wormhole space-time and various associated physical quantities derived from this geometry.

arXiv comment19 pages; 6 figures, versionv2, published in JCAP (https://doi.org/10.1088/1475-7516/2023/11/082)

A topologically charged four-dimensional wormhole and the energy conditions

Abstract

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