A pure geometric theory of gravity and a material distribution


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Аннотация

A field theory is constructed in the context of parameterized absolute parallelism geometry. The theory is shown to be a pure gravity one. It is capable of describing the gravitational field and a material distribution in terms of the geometric structure of the geometry used (the parallelization vector fields). Three tools are used to attribute physical properties to the geometric objects admitted by the theory. Poisson and Laplace equations are obtained in the linearized version of the theory. The spherically symmetric solution of the theory, in free space, is found to coincide with the Schwarzschild exterior solution of general relativity. The theory respects the weak equivalence principle in free space only. Gravity and the material distribution are not minimally coupled.

Авторлар туралы

M. Wanas

Department of Astronomy, Faculty of Science; Egyptian Relativity Group (ERG)

Хат алмасуға жауапты Автор.
Email: miwanas@sci.cu.edu.eg
Египет, Cairo; Giza, 12613

Nabil Youssef

Egyptian Relativity Group (ERG); Department of Mathematics, Faculty of Science

Email: miwanas@sci.cu.edu.eg
Египет, Giza, 12613; Cairo

W. El Hanafy

Egyptian Relativity Group (ERG); Centre for Theoretical Physics

Email: miwanas@sci.cu.edu.eg
Египет, Giza, 12613; El Sherouk City, Cairo, 11837

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