Four dimensional quantum topology changes of space–times
Topology changing processes in the WKB approximation of four dimensional quantum cosmology with a negative cosmological constant are investigated. As Riemannian manifolds, which describe quantum tunne...
Topology changing processes in the WKB approximation of four dimensional quantum cosmology with a negative cosmological constant are investigated. As Riemannian manifolds, which describe quantum tunne...
Kinks and geodesic incompleteness
The problem of geodesic incompleteness is examined for space–times with Finkelstein–Misner kinks. A discussion of spherically symmetric kink space–times is followed by specific examples...
The problem of geodesic incompleteness is examined for space–times with Finkelstein–Misner kinks. A discussion of spherically symmetric kink space–times is followed by specific examples...
Einstein's equations in the presence of signature change
J. Math. Phys. 37, 5627 (1996); doi:10.1063/1.531730
Issue Date: November 1996
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We discuss Einstein's field equations in the presence of signature change using variational methods, obtaining a generalization of the Lanczos equation relating the distributional term in the stress tensor to the discontinuity of the extrinsic curvature. In particular, there is no distributional term in the stress tensor, and hence no surface layer, precisely when the extrinsic curvature is continuous, in agreement with the standard result for constant signature. ©1996 American Institute of Physics.
| History: | Received 15 April 1996; accepted 19 June, 1996 |
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http://link.aip.org/link/?JMAPAQ/37/5627/1 |
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KEYWORDS and PACS
EINSTEIN FIELD EQUATIONS,
VARIATIONAL METHODS,
COSMOLOGICAL MODELS,
GENERAL RELATIVITY THEORY,
GRAVITATIONAL FIELDS,
ACTION INTEGRAL,
METRICS
- 02.30.Wd
Mathematical methods in physics Function theory, analysis Calculus of variations and optimal control - 02.10.Sp
Mathematical methods in physics Logic, set theory, and algebra Linear and multilinear algebra; matrix theory (finite and infinite) - 04.20.Fy
General relativity and gravitation Classical general relativity Canonical formalism, Lagrangians, and variational principles - 04.20.Jb
General relativity and gravitation Classical general relativity Exact solutions - YEAR: 1996
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PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (26)
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