arXiv subjects

Arkadii A. Popov

Publications and source records attributed to Arkadii A. Popov.

3 recordsLinked to original sources

arXiv2010

Self-force of a point charge in the space-time of a massive wormhole

We consider the self-potential and the self-force for an electrically charged particle at rest in the massive wormhole space-time. We develop general approach for the renormalization of electromagnetic field of such particle in the static space-times and apply it to the space-time of the wormhole with parameter of the mass, $m$. The self-force is found in manifest form; it is an attractive force. We discus the peculiarities due to massive parameter of the wormhole.

gr-qc↗

arXiv2001

Stress-energy of a quantized scalar field in static wormhole spacetimes

An analytical approximation of $ $ for a quantized scalar field in a static spherically symmetric spacetime with a topology $S^2 \times R^2$ is obtained. The gravitational background is assumed slowly varying. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $ξ$ to the scalar curvature and in a zero temperature vacuum state. It is demonstrated that for some values of curvature coupling the stress-energy has the properties needed to support the wormhole geometry.

hep-th↗

arXiv2000

Vacuum polarization of a scalar field in wormhole spacetimes

An analitical approximation of $<ϕ^2>$ for a scalar field in a static spherically symmetric wormhole spacetime is obtained. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $ξ$ to the scalar curvature, and in a zero temperature vacuum state.

gr-qc↗