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Empty Space-Times Admitting a Three Parameter Group of Motions
Abstract
where RV is the Ricci tensor, R is the scalar curvative and K is Einstein's gravitational constant. Equations (1.1) are second order partial differential equations for the g,, and their solutions involve arbitrary functions which are to be determined from physical data expressed as initial values or boundary conditions. On the basis of Mach's principle one would like to conclude that if T, = 0 and there are no singularities anywhere in the g9, then equations (1.1) which take the form
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Citations
Cited by
Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
Carter, B. (1968) · Communications in Mathematical Physics · doi:10.1007/bf03399503 · Cited by 1,111
A general solution of the Einstein equations with a time singularity
Belinskii, V. A., Khalatnikov, I. M., & Lifshitz, E. M. (1982) · Advances in Physics · doi:10.1080/00018738200101428 · Cited by 719
Rotating, charged, and uniformly accelerating mass in general relativity
Plebanski, J. F., & Demianski, M. (1976) · Annals of Physics · doi:10.1016/0003-4916(76)90240-2 · Cited by 677
Misner, C. W. (1969) · Physical Review · doi:10.1103/physrev.186.1319 · Cited by 529
Lidsey, J. E., Wands, D., & Copeland, E. J. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00064-8 · Cited by 480
Metadata
- Authors
- Taub, A. H.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1951-05
- Volume
- 53
- Issue
- 3
- Pages
- 472
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2094838865
- Cited by
- 1,161
- References
- 0
- FWCI
- 2.49
- Type
- journal article
- Language
- en
- Open access
- closed
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