Physics – Condensed Matter
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cqgra...7.2113l&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 7, Nov. 1990, p. 2113-2124.
Physics
Condensed Matter
Broken Symmetry, Gravitational Effects, Polarization (Waves), Space-Time Functions, Condensed Matter Physics, Gauge Theory, Quantum Theory, Schroedinger Equation, Schwarzschild Metric
Scientific paper
Symmetry breaking in the spacetime surrounding a compact stellar object is examined, concentrating on the effects of vacuum polarization of a self-interacting scalar field. To demonstrate what types of effect can occur, Rindler space is examined as a model inhomogeneous spacetime where the vacuum polarization is seen to destabilize a phi = 0 background. For a compact stellar object the equations of motion are no longer analytically solvable; however, the perturbation equations for the background field can be cast in the form of a Schroedinger equation, albeit with an unusual interpretation, and allowing the eigenvalue spectrum for the perturbation equation to be determined. It is found that the symmetric vacuum is always unstable provided the star is sufficiently compact, and some possible implications are discussed.
Liddle Andrew R.
Stephens Christopher R.
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