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Stability and structure of Newtonian gravitars

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Abstract

The solution χ ∼ r2 for a scalar field (gravitational “constant”), which is asymptotically exact for supercompact configurations and which Saakyan and Mnatsakanyan obtained from the numerical solution of the hydrostatics equations in the Newtonian approximation of the Jordan-Brans-Dicke theory, is used to study the gravitational stability of such configurations. We have found the stability condition γ⊘ 2/3 for polytropic configurations (γ is the polytropic exponent) instead of γ⊘ 4/3, which is known for configurations of low compactness. Analytic solutions of the equations of internal structure are found for configurations which are intermediate with respect to stability (γ=2/3) and for some other important series of configurations.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    I. S. Nurgaliev

Authors
  1. I. S. Nurgaliev
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 98–102, July, 1982.

In conclusion, the present author expresses his indebtedness and gratitude to V. N. Ponomarev, for assistance in executing the work.

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Nurgaliev, I.S. Stability and structure of Newtonian gravitars. Soviet Physics Journal 25, 672–675 (1982). https://doi.org/10.1007/BF00911805

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  • DOI: https://doi.org/10.1007/BF00911805

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