Gravitational vacuum polarization around static spherical stars

Journal Article · Fri Apr 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2142· OSTI ID:5375091

Hiscock, W A

The gravitational vacuum polarization of conformally coupled quantum fields in the spacetime of a uniform-density, static, spherical star is studied using the approximation developed by Page, Brown, and Ottewill. Approximate vacuum stress-energy tensors are calculated for conformal massless scalar, spinor, and vector fields; in the case of vector fields, both dimensionally regularized and zeta-function results are given. Explicit algebraic forms for the stress-energy tensors are given for the interior of the star and for the exterior Schwarzschild region. If the vacuum stress energy is to be conserved and have the correct trace anomaly at the surface of the star, it is necessary that there be distributional terms in the vacuum stress energy at the surface. The nature and magnitude of these terms are determined. The semiclassical Einstein equations are solved in the exterior region of the star to first order in (h/2..pi..), and the first quantum corrections to Kepler's third law are found.

• Research Organization: Department of Physics, Montana State University, Bozeman, Montana 59717
• OSTI ID: 5375091
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640102 -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
645000* -- High Energy Physics
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
EINSTEIN FIELD EQUATIONS
ELECTRODYNAMICS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GRAVITATIONAL FIELDS
MASS
MONOPOLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SCALAR FIELDS
SEMICLASSICAL APPROXIMATION
SPACE-TIME
SPINOR FIELDS
VACUUM POLARIZATION
VACUUM STATES
VECTOR FIELDS