Casimir energy density in closed hyperbolic universes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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10 pages. Contribution to the "Fifth Alexander Friedmann International Seminar on Gravitation and Cosmology," Joao Pessoa, Bra

Scientific paper

10.1142/S0217751X02013459

The original Casimir effect results from the difference in the vacuum energies of the electromagnetic field, between that in a region of space with boundary conditions and that in the same region without boundary conditions. In this paper we develop the theory of a similar situation, involving a scalar field in spacetimes with compact spatial sections of negative spatial curvature.

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