Casimir effect for scalar fields with Robin boundary conditions in Schwarzschild background

The stress tensor of a massless scalar field satisfying Robin boundary conditions on two one-dimensional wall in two-dimensional Schwarzschild background is calculated. We show that vacuum expectation value of stress tensor can be obtained explicitly by Casimir effect, trace anomaly and Hawking radiation.Comment: 10 pages, no figure

Trace Anomaly and Backreaction of the Dynamical Casimir Effect

The Casimir energy for massless scalar field which satisfies priodic boundary conditions in two-dimensional domain wall background is calculated by making use of general properties of renormalized stress-tensor. The line element of domain wall is time dependent, the trace anomaly which is the nonvanishing $T^{\mu}_{\mu}$ for a conformally invariant field after renormalization, represent the back reaction of the dynamical Casimir effect.Comment: 8 pages, no figures, typos corrected, discussion added, has been accepted for the publication in GR

Method to compute the stress-energy tensor for the massless spin 1/2 field in a general static spherically symmetric spacetime

A method for computing the stress-energy tensor for the quantized, massless, spin 1/2 field in a general static spherically symmetric spacetime is presented. The field can be in a zero temperature state or a non-zero temperature thermal state. An expression for the full renormalized stress-energy tensor is derived. It consists of a sum of two tensors both of which are conserved. One tensor is written in terms of the modes of the quantized field and has zero trace. In most cases it must be computed numerically. The other tensor does not explicitly depend on the modes and has a trace equal to the trace anomaly. It can be used as an analytic approximation for the stress-energy tensor and is equivalent to other approximations that have been made for the stress-energy tensor of the massless spin 1/2 field in static spherically symmetric spacetimes.Comment: 34 pages, no figure

Knowledge,Values and Ideologies in Developing on Modern Lines Society: Interdisciplinary Approach

It is contended that to construct a social theory capable to comprehend the Russian Modernization one has to broaden first and foremost the conceptual basis of research. The basic element lacking in the orthodox Marxist conceptual scheme is the notion of ‘social unconsciousness’. It is demonstrated that Slavoj Zizek’s works represent the most ingenious fusion of post-structuralism, psychoanalysis and Marxism that treats the ability to disclose social contradictions. It is shown that the adequate comprehension of social contradictions system is possible in the light of ideologies grounded on social equality values . They can reveal the main contradiction of Russian social life, i.e. the contradiction between Empire Ambitions of Russian bureaucracy and the interests and values of the ill-structured Civil Society. Key words : ideologies, psychoanalysis, post-structuralism, S. Zizek, social contradictions