A Scaling Relation in Inhomogeneous Cosmology with k-essence scalar fields
arXiv:1602.01289 · doi:10.1016/j.dark.2021.100800
Abstract
We obtain a scaling relation for spherically symmetric k-essence scalar fields for an inhomogeneous cosmology with the Lemaitre-Tolman- Bondi (LTB) metric. We show that this scaling relation reduces to the known relation for a homogeneous cosmology when the LTB metric reduces to the Friedmann-Lemaitre-Robertson-Walker (FLRW) metric under certain identifications of the metric functions. A k-essence lagrangian is set up and the Euler-Lagrangian equations solved assuming . The solutions enable the LBT metric functions to be related to the fields. The LTB inhomogeneous universe exhibits late time accelerated expansion i.e.cosmic acceleration driven by negative pressure.
13 pages
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