Casimir Effect Under Two Dimensional Black Hole Spacetime Background with Global Monopole

Abstract

A thin layer of the event horizon vicinity to the two-dimension black hole with a global monopole is considered as a system of the Casimir type. The energy-momentum tensor is derived in Boulware vacuum, Hartle-Hawking vacuum and Unruh vacuum respectively. The values are derived in the massless scalar field which satisfies the Dirichlet boundary conditions. Using the Wald's axioms, the result is got which is the same with the one derived by the usual regularized methods. Meanwhile, the energy, energy density, and pressure acting on the boundaries at the asymptotically flat background also are calculated too, and from the energy, Casimir force is derived. The Casimir energy and Casimir force are compared respectively in the background before and after radiation.KEY WORDS: casimir effect; two dimensional black hole; global monopole. PACS: 42.50.Lc.

Exact Scalar Field Inflationary Solution in Rainbow Universe

“…However, we believe that a new physical theory may base on a new mathematical theory. Today, the relativity and its conclusions which base on the Riemannian geometry has matured [12][13][14][15][16], but the physics, which base on the more general geometry (Finsler geometry) still has never been study largely. However, because Finsler geometry is differential geometry without the restraint of quadratic form, the geometry is more general than the Riemannian geometry, and the geometry may reveal more of the physical nature.…”