Gravitational vacuum polarization. III. Energy conditions in the (1+1)-dimensional Schwarzschild spacetime

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.5123· OSTI ID:385864

Visser, M ^[1]

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1. Physics Department, Washington University, St. Louis, Missouri 63130-4899 (United States)

Building on techniques developed in the two preceding papers, I investigate the various pointwise and averaged energy conditions for the quantum stress-energy tensor corresponding to a conformally coupled massless scalar field in the (1+1)-dimensional Schwarzschild spacetime. Because the stress-energy tensors are analytically known, I can get exact results for the Hartle-Hawking, Boulware, and Unruh vacua. This exactly solvable model serves as a useful check on my (3+1)-dimensional investigations wherein I had to resort to a mixture of analytic approximations and numerical techniques. The key results in 1+1 dimensions are that (1) NEC is satisfied outside the event horizon for the Hartle-Hawking vacuum and violated for the Boulware and Unruh vacua, and (2) DEC is violated everywhere in the spacetime (for any quantum state, not just the standard vacuum states). {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 385864
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY
GRAVITATIONAL FIELDS
MASSLESS PARTICLES
SCALAR FIELDS
SCHWARZSCHILD METRIC
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS
VACUUM POLARIZATION
VACUUM STATES
VIOLATIONS