Neutron stars in the multidimensional einstein theory of gravitation

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The radius, mass, total number of baryons, and other parameters of static, spherically symmetric, superdense stars are calculated. A model with one Ricci-flat inner space of arbitrary dimensionality and the approximation p1=-0.5ɛ + ap for additional components of the energy — momentum tensor are used (ɛ and ρ are the total energy density and the pressure of the stellar matter and a is a fitting parameter). In the case of white dwarfs, the results of the multidimensional theory do not depend on the dimensionality D of space-time for -10 ≲ a ≲ 10 and coincide with the analogous data of the general theory of relativity (GTR). For neutron stars there is a dependence on D and a. For D>4, in particular, the greatest mass Mmax of a neutron star as a function of a has a maximum at 3

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