A method for generating solutions of Einstein's equations

Journal of Mathematical Physics

Volumn 12, Issue 6, 1971, Pages 918-924

  Geroch, Robert ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36849105836     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1665681     Document Type: Article

References (13)

1. Since we are permitted by (3) to add a gradient to [formula omitted] and [formula omitted] these fields can always be chosen to satisfy (4).
2. That [formula omitted] is a consequence of (3), (4), and the following identity.
3. Our conventions for the Riemann and Ricci tensors are [formula omitted] [formula omitted]
4. We are ignoring a trivial transformation: [formula omitted] [formula omitted] [formula omitted]
5. Since K is compact, the curls do not, of course, contribute to the integrals. The second integral (19) is well known.
6. Note, however, that the transformation as originally given by (5) does not require any assumptions whatever on [formula omitted]
7. Note that we use Latin indices for both tensors on M and tensors on S. The reason for this will emerge shortly.
8. See, for example