Volume 120, Number 1, October 2017
|Number of page(s)||7|
|Published online||29 December 2017|
Casimir effect in the rainbow Einstein's universe
1 Departamento de Física, Universidade Federal da Paraíba - 58059-900, Caixa Postal 5008, João Pessoa, PB, Brazil
2 Departamento de Física, Universidade Federal de Campina Grande - 58429-900, Caixa Postal 10071, Campina Grande, PB, Brazil
3 Universidade Estadual do Ceará, Faculdade de Educação, Ciências e Letras do Sertão Central 63900-000, Quixadá, CE, Brazil
Received: 12 October 2017
Accepted: 29 November 2017
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.
PACS: 04.50.Kd – Modified theories of gravity / 11.90.+t – Other topics in general theory of fields and particles (restricted to new topics in section 11)
© EPLA, 2017
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