Anisotropic spheres with uniform energy density in bimetric theory of relativity |
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Authors: | G S Khadekar S D Tade |
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Institution: | 1. Department of Mathematics, Rashtrasant Tukadoji Maharaj Nagpur University, Mahatma Jyotiba Phule Educational Campus, Amravati Road, Nagpur, 440 010, India 2. Department of Mathematics, Jawaharlal Nehru Arts, Commerce and Science College, Wadi, Nagpur, 440 023, India
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Abstract: | In this paper we have obtained interior solutions of the field equations for anisotropic sphere in the bimetric general relativity theory formulated by Rosen (Lett. Nuovo Cimento 25, 1979). A class of solutions for a uniform energy-density source of the field equations is presented. The analytic solutions obtained are physically reasonable, well behaved in the interior of the sphere. The solutions agree with the Einstein’s general relativity for a physical system compared to the size of the universe such as the solar system. |
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