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Cited by 622

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Domain of Dependence

Geroch, Robert·1970·Journal of Mathematical Physics
DOI 10.1063/1.1665157
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Abstract

The various properties of the domain of dependence (Cauchy development) which have been found particularly useful in the study of gravitational fields are reviewed. The basic techniques for constructing proofs and counterexamples are described. A new tool—the past and future volume functions—for treating certain global properties of space-times is introduced. These functions are used to establish two new theorems: (1) a necessary and sufficient condition that a space-time have a Cauchy surface is that it be globally hyperbolic; and (2) the existence of a Cauchy surface is a stable property of space-times.

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Metadata

Authors
Geroch, R.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1970-02-01
Volume
11
Issue
2
Pages
437-449
ISSN
  • 0022-2488 (ISSN-L)
  • 1089-7658
DOI
10.1063/1.1665157
OpenAlex
W628774535
Cited by
622
References
3
FWCI
3.35
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Domain of Dependence. https://app.cochat.ai/papers/10.1063/1.1665157
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Geroch, R. (1970). Domain of Dependence. Journal of Mathematical Physics. https://doi.org/10.1063/1.1665157

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.