Generalized entropic gravity from modified Unruh temperature


Creative Commons License

Kibaroglu S.

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.34, no.22, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 22
  • Publication Date: 2019
  • Doi Number: 10.1142/s0217751x19501197
  • Title of Journal : INTERNATIONAL JOURNAL OF MODERN PHYSICS A

Abstract

In this study, the effects of the generalized uncertainty principle on the theory of gravity are analyzed. Inspired by Verlinde's entropic gravity approach and using the modified Unruh temperature, the generalized Einstein field equations with cosmological constant are obtained and corresponding conservation law is investigated. The resulting conservation law of energy-momentum tensor dictates that the generalized Einstein field equations are valid in a very limited range of accelerations. Moreover, the modified Newton's law of gravity and the modified Poisson equation are derived. In a certain limit, these modified equations reduce to their standard forms.