Casimir Effect in the Rainbow Einstein's Universe

Abstract

In the present paper we investigate the effects caused by the modification of the dispersion relation obtained by solving the Klein-Gordon equation in the closed Einstein's universe in the context of rainbow's gravity models. Thus, we analyse how the quantum vacuum fluctuations of the scalar field are modified when compared with the results obtained in the usual General Relativity scenario. The regularization, and consequently the renormalization, of the vacuum energy is performed adopting the Epstein-Hurwitz and Riemann's zeta functions.

15 pages, 1 figure. To appear in Europhysics Letters

References in corpus (4)

• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Rainbow universe
• Gravitational Collapse in Gravity's Rainbow
• Hawking Radiation Power Equations for Black Holes

Cited by in corpus (8)

• PDM KG-Coulombic particles in cosmic string rainbow gravity spacetime and a uniform magnetic field
• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
• Accelerating AdS black holes in gravity's rainbow
• Relativistic quantum oscillator under rainbow gravity's effects in traversable wormhole with disclination
• Electrostatic self-interaction of charged particles in the space-time of a cosmic string in the context of gravity's rainbow
• Thermal Casimir effect in the Einstein Universe with a spherical boundary
• Scalar particles around a Rindler-Schwarzschild wormhole