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Tideless traversable wormholes in General Relativity and modified gravity with a Kalb-Ramond background

Parangam GoswamiAnshuman BaruahAtri Deshamukhya
Dec 2022
摘要
Among the several modified/extended gravity paradigms, the concept ofantisymmetric connections leading to space-time torsion can be traced back toCartan. More recently, developments in string theory have suggested theexistence of a rank-2 self-interacting tensor field called the Kalb-Ramondfield with similar outcomes, the field strength of which can support analyticwormhole-like solutions. In this study, we comprehensively probe the existenceof traversable Morris-Thorne like wormhole solutions sourced by the Kalb-Ramondfield strength in both General Relativity (GR) and $f(R)$ and $f(R,T)$ modifiedgravity. We evaluate wormhole shape functions and analyze the energy conditionsnear the throat, check the stability using the generalizedTolman-Oppenheimer-Volkov equations, and demonstrate the possibility of minimumexotic matter by numerically estimating the volume integral quantifier. Ourresults show the existence of stable wormhole solutions in GR and a simple$f(R,T)$ gravity model, and unstable ones in a power-law type $f(R)$ gravitymodel.
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