X iv : g r - qc / 0 10 60 82 v 1 2 6 Ju n 20 01 Green ’ s function for a n - dimensional closed , static universe and with a spherical boundary
نویسنده
چکیده
We construct the Hadamard Green’s function by using the eigenfunction, which are obtained by solving the wave equation for the massless conformal scalar field on the Sn−1 of a n-dimensional closed, static universe. We also consider the half space case with both the Dirichlet and the Neumann boundary conditions. Solving of eigenfunction and eigenvalues of the corresponding field equation is interesting since the Casimir energy could be calculated analytically by various methods.
منابع مشابه
ar X iv : g r - qc / 0 60 71 02 v 1 2 4 Ju l 2 00 6 ENERGY MOMENTUM LOCALIZATION IN MARDERSPACE TIME
and Weinberg's definitions in general rela-tivity, we find the momentum four-vector of the closed universe based on Marder space-time. The momentum four-vector (due to matter plus field) is found to be zero. These results supports the viewpoints of Banerjee-Sen, Xulu and Aydo ˙ gdu-Saltı. Another point is that our study agree with previous works of Cooperstock-Israelit, Rosen, Johri et al..
متن کاملX iv : g r - qc / 0 40 60 82 v 1 2 1 Ju n 20 04 Holonomy and projective symmetry in space - times ∗
It is shown using a space-time curvature classification and decomposition that for certain holonomy types of a space-time, proper projec-tive vector fields cannot exist. Existence is confirmed, by example, for the remaining holonomy types. In all except the most general holon-omy type, a local uniqueness theorem for proper projective symmetry is established.
متن کاملar X iv : g r - qc / 0 60 71 02 v 2 1 7 Ju l 2 00 7 ENERGY MOMENTUM LOCALIZATION IN MARDERSPACE TIME
and Weinberg's definitions in general rela-tivity, we find the momentum four-vector of the closed universe based on Marder space-time. The momentum four-vector (due to matter plus field) is found to be zero. These results supports the viewpoints of Banerjee-Sen, Xulu and Aydo ˙ gdu-Saltı. Another point is that our study agree with previous works of Cooperstock-Israelit, Rosen, Johri et al..
متن کاملX iv : g r - qc / 0 60 70 61 v 1 1 7 Ju l 2 00 6 Thin shell wormholes in higher dimensiaonal Einstein - Maxwell theory
We construct thin shell Lorentzian wormholes in higher dimensional Einstein-Maxwell theory applying the ' Cut and Paste ' technique proposed by Visser. The linearized stability is analyzed under radial perturbations around some assumed higher dimensional spherically symmetric static solution of the Einstein field equations in presence of Electromagnetic field. We determine the total amount of e...
متن کاملqc / 0 60 60 49 v 1 1 2 Ju n 20 06 Lorentzian Wormholes in the Friedman - Robertson - Walker Universe
The metric of some Lorentzian wormholes in the background of the FRW universe is obtained. It is shown that for a de Sitter space-time the new solution is supported by Phantom Energy. The wave equation for a scalar field in such backgrounds is separable. The form of the potential for the Schrödinger type one dimensional wave equation is found. PACS numbers: 04.20.-q, 04.20.Jb
متن کامل