Stars creating a gravitational repulsion

Igor D. Novikov, G. S. Bisnovatyi-Kogan, and Dmitry I. Novikov
Phys. Rev. D 98, 063528 – Published 24 September 2018

Abstract

In the framework of the theory of general relativity, models of stars with an unusual equation of state ρc2<0, P>0, where ρ is the mass density and P is the pressure, are constructed. These objects create outside themselves the forces of gravitational repulsion. The equilibrium of such stars is ensured by a nonstandard balance of forces. Negative mass density, acting gravitationally on itself, creates an acceleration of the negative mass, directed from the center. Therefore, in the absence of pressure, such an object tends to expand. At the same time, the positive pressure, which falls just like in ordinary stars from the center to the surface, creates a force directed from the center. This force acts on the negative mass density, which causes acceleration directed opposite of the acting force, that is, to the center of the star. This acceleration balances the gravitational repulsion produced by the negative mass. Thus, in our models, gravity and pressure change roles: the negative mass tends to create a gravitational repulsion, while the gradient of the pressure acting on the negative mass tends to compress the star. In this paper, we construct several models of such a star with various equations of state.

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  • Received 16 July 2018

DOI:https://doi.org/10.1103/PhysRevD.98.063528

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Igor D. Novikov

  • Astro-Space Center of P.N. Lebedev Physical Institute, Profsoyusnaya 84/32, Moscow, Russia 117997; The Neil’s Bohr International Academy, Neil’s Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen, Denmark; and National Research Center Kurchatov Institute, 123182, Moscow, Russia

G. S. Bisnovatyi-Kogan

  • Space Research Institute, Profsoyusnaya 84/32, Moscow, Russia 117997; National Research Nuclear University MEPhI, Kashira Highway, 31, Moscow, 115409; and Moscow Institute of Physics and Technology MIPT, Institutskiy Pereulok, 9, Dolgoprudny, Moscow Region, 141701

Dmitry I. Novikov

  • Astro-Space Center of P.N. Lebedev Physical Institute, Profsoyusnaya 84/32, Moscow, Russia 117997

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Issue

Vol. 98, Iss. 6 — 15 September 2018

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