A study on existence of Wormhole in Lemaitre-Tolman-Bondi model
Subenoy Chakraborty, Madhukrishna Chakraborty
TL;DR
This paper investigates the potential existence of evolving wormhole solutions within the inhomogeneous Lemaitre-Tolman-Bondi spacetime, analyzing geometric conditions and shape functions for viability.
Contribution
It introduces a method to evaluate wormhole shape functions in LTB spacetime using a separable radius approach, exploring conditions for viable wormhole configurations.
Findings
Conditions for viable wormhole configurations identified
Shape function expressed in terms of radial coordinate functions
Evolving wormhole solutions analyzed in inhomogeneous spacetime
Abstract
An investigation has been done for possible existence of evolving wormhole (WH) solution in the background of inhomogeneous Lemaitre-Tolman-Bondi (LTB) space-time geometry. Using separable product form of the geometric (or area) radius, the shape function can be evaluated in terms of the functional part of the radial coordinate in the area radius. The conditions for a viable WH configuration have been examined.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Numerical methods for differential equations