Postulational approach to schwarzschild’s exterior solution with application to a class of interior solutions
In order to clarify the physical ideas underlying Schwarzschild's exterior solution, a postulational derivation is given that does not make use of the field equations. Basically this amounts to replacing two field equations by two postulates, one of which is a strong version of the principle of equivalence, and the other, of Newton's inverse square law. These postulates are more general than the approach would indicate, and there is actually a class of solutions for static systems with spherical symmetry which satisfy them. The energy-stress tensors producing these solutions have the important property that energy density equals radial stress. Two examples of interior solutions that fulfill these postulates are given: a solid sphere and a hollow shell. The basic properties of these solutions are described and compared with those of Schwarzschild's interior solution. The solid sphere solution is used to complete a previous discussion of the clock paradox. The field equations for static systems with spherical symmetry are written in a form that indicates the limitations of the postulates. (auth)
- Research Organization:
- Duke Univ., Durham, N.C.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-032529
- OSTI ID:
- 4772874
- Journal Information:
- Nuovo Cimento, Journal Name: Nuovo Cimento Journal Issue: 5 Vol. 25; ISSN 0029-6341
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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