Null geodesic structure for the Barriola-Vilenkin spacetime via $k$-essence

Abstract

Based on the work of Chandrasekhar [{\it The Mathematical Theory of Black Holes, Oxford Univ. Press (1992)}], we investigate the null geodesic structure of the emergent Barriola-Vilenkin spacetime in the context of {\bf k-}essence theory. For {\bf k-}essence, the emergent gravity metric is a one-to-one correspondence with the Barriola-Vilenkin (BV) metric connected to the Schwarzschild background, where the global monopole charge is replaced by the dark energy density. This equivalence holds specifically for a certain class of {\bf k-}essence scalar fields that have been constructed by Gangopadhyay and Manna [Euro. Phys. Lett., 100, 49001, (2012)]. We have traced out different trajectories for null geodesic in the presence of dark energy for the {\bf k-}essence emergent Barriola-Vilenkin spacetime. It is demonstrated that the outcomes deviate from the typical Schwarzchild spacetime owing to the fundamental configuration with a constant dark energy density.

10pages, 5figures, Accepted from IJMPD

References in corpus (8)

• Theoretical Models of Dark Energy
• Escaping from the black hole?
• Attractor scenarios and superluminal signals in k-essence cosmology
• Raychaudhuri equation in $k$-essence geometry: conditional singular and non-singular cosmological models
• The Hawking temperature in the context of dark energy for Kerr-Newman and Kerr-Newman-AdS backgrounds
• Thermodynamics for the k-essence Emergent Reissner-Nordstrom-de Sitter Spacetime
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Geodesic structure of generalized Vaidya spacetime through the K-essence

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