The Hawking temperature in the context of dark energy

¹ Department of Physics, Ramakrishna Mission Vivekananda University - P. O. Belur Math, Howrah-711202, West Bengal, India
² Department of Physics, Prabhat Kumar College - Contai, Purba Medinipur-721401, West Bengal, India

^(a) debashis@rkmvu.ac.in
^(b) goutammanna.pkc@gmail.com

Received: 18 June 2012
Accepted: 5 November 2012

Abstract

An emergent-gravity metric incorporating k-essence scalar fields ϕ having a Born-Infeld–type Lagrangian is mapped into a metric whose structure is similar to that of a blackhole of large mass M that has swallowed a global monopole. However, here the field is not that of a monopole but rather that of a k-essence scalar field. If ϕ_emergent are the solutions of the emergent-gravity equations of motion under cosmological boundary conditions at ∞, then for the rescaled field has exact correspondence with ϕ with ϕ(r,t) = ϕ₁(r) + ϕ₂(t). The Hawking temperature of this metric is , taking the speed of light c = 1. Here is the kinetic energy of the k-essence field ϕ and K is always less than unity, k_B is the Boltzmann constant. This is phenomenologically interesting in the context of Belgiorno et al.'s gravitational analogue experiment.