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Einstein gravitation from scalar nonsingular sources alone

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Abstract

In the light of Einstein's equations a system only containing two scalar fields is considered: One is of long range and attractive, the other is of short range and repulsive. The sources of these fields are taken to be nonsingular and spherically symmetric. All components of the energy-momentum tensor are continuous. A static solution of the equations is obtained in the weak-field approximation. The source of the gravitational field shows a finite concentration on the center of symmetry and dilutes monotonically to zero outwards. A Schwarzschild-type gravitation is found at infinity.

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Souza, J.A., Teixeira, A.F.F. Einstein gravitation from scalar nonsingular sources alone. Int J Theor Phys 16, 585–590 (1977). https://doi.org/10.1007/BF01811091

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  • DOI: https://doi.org/10.1007/BF01811091

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