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Cited by 594

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Vacuum expectation value of the stress tensor in an arbitrary curved background: The covariant point-separation method

Christensen, S. M.·1976·Physical Review D
DOI 10.1103/physrevd.14.2490
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Abstract

A method known as covariant geodesic point separation is developed to calculate the vacuum expectation value of the stress tensor for a massive scalar field in an arbitrary gravitational field. The vacuum expectation value will diverge because the stress-tensor operator is constructed from products of field operators evaluated at the same space-time point. To remedy this problem, one of the field operators is taken to a nearby point. The resultant vacuum expectation value is finite and may be expressed in terms of the Hadamard elementary function. This function is calculated using a curved-space generalization of Schwinger's proper-time method for calculating the Feynman Green's function. The expression for the Hadamard function is written in terms of the biscalar of geodetic interval which gives a measure of the square of the geodesic distance between the separated points. Next, using a covariant expansion in terms of the tangent to the geodesic, the stress tensor may be expanded in powers of the length of the geodesic. Covariant expressions for each divergent term and for certain terms in the finite portion of the vacuum expectation value of the stress tensor are found. The properties, uses, and limitations of the results are discussed.

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Research works printed but not linked: 4

  1. B. S. DeWitt, 1975, Phys. Rep., 19C, 295, 10.1016/0370-1573(75)90051-4 · DOI · Paper page
  2. C. W. Misner, 1973, Gravitation
  3. J. L. Synge, 1960, Relativity: The General Theory
  4. G. N. Watson, 1944, Theory of Bessel Functions

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Metadata

Authors
Christensen, S. M.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1976-11-15
Volume
14
Issue
10
Pages
2490-2501
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.14.2490
OpenAlex
W2106016613
Cited by
594
References
2
FWCI
26.26
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)

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