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.

arXiv comment15 pages, 1 figure. To appear in Europhysics Letters

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• Landau Levels in the Presence of a Cosmic String in Rainbow Gravity
• Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity
• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• KG-particles in a cosmic string rainbow gravity spacetime in mixed magnetic fields
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Relativistic quantum oscillator under rainbow gravity's effects in traversable wormhole with disclination
• Accelerating AdS black holes in gravity's rainbow
• Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity
• Thermal Casimir effect for the scalar field in flat spacetime under a helix boundary condition
• Electrostatic self-interaction of charged particles in the space-time of a cosmic string in the context of gravity's rainbow
• Relativistic Bose-Einstein condensate in the rainbow gravity
• Ground state energy and topological mass in spacetimes with nontrivial topology
• Thermal Casimir effect in the Einstein Universe with a spherical boundary
• Scalar particles around a Rindler-Schwarzschild wormhole
• Quantum Vacuum Fluctuations in a Chromomagnetic-like Background
• Accelerated expansion of the universe purely driven by scalar field fluctuations
• Einstein-Yang-Mills Regular Black Holes in Rainbow Gravity
• Interaction of the generalized Duffin-Kemmer-Petiau equation with a non-minimal coupling under the cosmic rainbow gravity