2021•arXiv (Cornell University)Open access
An accelerated universe with negative equation of state parameter in\n Inhomogeneous Cosmology with $k$-essence scalar field
Somnath Mukherjee, Debashis Gangopadhyay
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Abstract
We obtain a scaling relation for spherically symmetric k-essence scalar\nfields $\\phi(r,t)$ for an inhomogeneous cosmology with the Lemaitre-Tolman-\nBondi (LTB) metric. We show that this scaling relation reduces to the known\nrelation for a homogeneous cosmology when the LTB metric reduces to the\nFriedmann-Lemaitre-Robertson-Walker (FLRW) metric under certain identifications\nof the metric functions. A k-essence lagrangian is set up and the\nEuler-Lagrangian equations solved assuming $\\phi(r,t)=\\phi_{1}(r) +\n\\phi_{2}(t)$. The solutions enable the LBT metric functions to be related to\nthe fields. The LTB inhomogeneous universe exhibits accelerated expansion\ni.e.cosmic acceleration driven by negative pressure.\n
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