Time-like geodesic structure for the K-essence Emergent Barriola-Vilenkin type spacetime

Abstract

For a particular type of {\bf k-}essence scalar field, the {\bf k-}essence emergent gravity metric is exactly mapped on to the Barriola-Vilenkin (BV) type metric for Schwarzschild background established by Gangopadhyay and Manna. Based on the S. Chandrasekhar, we report the exciting features of the time-like geodesic structure in the presence of dark energy in an emergent gravity scenario for this Barriola-Vilenkin type metric. We trace the different kinds of trajectories for time-like geodesic in the presence of dark energy for the {\bf k-}essence emergent Barriola-Vilenkin spacetime, which is same as the Schwarzchild spacetime in view of the basic orientation, but the allowed ranges of the aphelion and perihelion distances are much more different. The bound and unbound orbits are plotted for a fixed value of the dark energy density.

arXiv comment11 pages, 3 figures, Accepted from Classical and Quantum Gravity (CQG)

References in corpus (10)

• Planck 2013 results. XVI. Cosmological parameters
• Planck 2013 results. I. Overview of products and scientific results
• Purely kinetic k-essence as unified dark matter
• Extended tachyon field, Chaplygin gas and solvable k-essence cosmologies
• The geodesic structure of the Schwarzschild Anti-de Sitter black hole
• The Jacobi-metric for timelike geodesics in static spacetimes
• Jacobi-Maupertuis-Eisenhart metric and geodesic flows
• The Hawking temperature in the context of dark energy
• The Hawking Temperature in the context of Dark Energy for Reissner-Nordstrom and Kerr background
• The Hawking temperature in the context of dark energy for Kerr-Newman and Kerr-Newman-AdS backgrounds

Cited by in corpus (2)

• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Null geodesic structure for the Barriola-Vilenkin spacetime via $k$-essence