An exact spherically symmetric local solution in a class of ''strong'' and ''weak'' two-tensor gravity theories
After defining simultaneous spherical symmetry for two metrics, the technique of equation splitting is used to produce exact spherically symmetric solutions within the class of two-metric gravity theories introduced in an earlier paper. The nontrivial solutions are found to select the exceptional case, distinguished in previous work. The solutions in this case, however, possess a ''gauge freedom'' which apparently leaves the physics ambiguously defined. Nevertheless, we use the gauge freedom to simplify and proceed to local solutions, where $sup 1$g/sub center-dot//sub center-dot/ is an empty closed space of positive constant curvature and $sup 0$g/sub center-dot//sub center-dot/ is a Schwarzschild solution with a mass. The empty closed space is found to be contained within the Schwarzschild radius.
- Research Organization:
- Department of Physics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-002252
- OSTI ID:
- 4167648
- Journal Information:
- J. Math. Phys. (N.Y.), v. 16, no. 10, pp. 2114-2122, Journal Name: J. Math. Phys. (N.Y.), v. 16, no. 10, pp. 2114-2122; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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