The problem of scalar field theory in curved space-time

Details The problem of scalar field theory in curved space-time The problem of scalar field theory in curved space-time

Feb 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..101c&link_type=abstract

General Relativity and Gravitation, vol. 9, Feb. 1978, p. 101-121.

Astronomy and Astrophysics

Astrophysics

9

Cosmology, Field Theory (Physics), Relativity, Scalars, Space-Time Functions, Astronomical Models, Astrophysics, Tensor Analysis

Scientific paper

It is demonstrated that (1) there exist infinite G1 that satisfy Lichnerowicz's conditions (L conditions) in a globally hyperbolic manifold; and, (2) there is no G1 in an expanding universe that would satisfy those conditions and that would behave as the ordinary Delta 1 of flat space when x approaches x-prime. The author thinks that these results present a serious problem for finding a semiclassical theory of scalar field in curved space-time.

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