A topologically charged four-dimensional wormhole and the energy conditions

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, $d{s}^2=-(1-\frac{2M}{\sqrt{x^2+b^2}})d{t}^2+(1-\frac{2M}{\sqrt{x^2+b^2}}{)}^{-1}(\frac{d{x}^2}{{\alpha }^2})+(x^2+a^2)(d{\theta }^2+{\sin }^2\theta d{\varphi }^2)$. This wormhole is uniquely defined by a pair of key parameters (length scales $a$ and $b$), together with the global monopole charge $\alpha$. 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.

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

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Cited by in corpus (2)

• Exploring wormhole solutions with global monopole charge in the context of $f(Q)$ gravity
• Higher-dimensional topologically charged traversable defect wormhole with non-exotic matter