An accelerated universe with negative equation of state parameter in Inhomogeneous Cosmology with $k$-essence scalar field

Abstract

We obtain a scaling relation for spherically symmetric k-essence scalar fields $\varphi (r,t)$ 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 $\varphi (r,t)={\varphi }_1(r)+{\varphi }_2(t)$. The solutions enable the LBT metric functions to be related to the fields. The LTB inhomogeneous universe exhibits accelerated expansion i.e.cosmic acceleration driven by negative pressure.

arXiv comment7 pages, latex. arXiv admin note: substantial text overlap with arXiv:1602.01289

References in corpus (1)

• Quintessence inhomogeneous cosmology

Cited by in corpus (2)

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