Volume 115, Number 5, September 2016
|Number of page(s)||7|
|Published online||13 October 2016|
Constraints on rainbow gravity functions from black-hole thermodynamics
1 Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata Mohanpur 741246, Nadia, West Bengal, India
2 Department of Physics, West Bengal State University - Barasat, Kolkata 700126, India
3 Department of Physics, Adamas University - Barasat, Kolkata 700126, India
4 Visiting Associate in Inter University Centre for Astronomy & Astrophysics (IUCAA) Pune 411007, India
Received: 13 July 2016
Accepted: 19 September 2016
In this paper, we investigate the thermodynamic properties of black holes in the framework of rainbow gravity. By considering rainbow functions in the metric of Schwarzschild and Reissner-Nordström black holes, remnant and critical masses are found to exist. Demanding the universality of logarithmic corrections to the semi-classical area law for the entropy leads to constraining the form of the rainbow functions. The mass output and the radiation rate for these constrained form of rainbow functions have been computed for different values of the rainbow parameter η and have striking similarity to those derived from the generalized uncertainty principle.
PACS: 04.60.Bc – Phenomenology of quantum gravity
© EPLA, 2016
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