Neutron-star mass limit in the bimetric theory of gravitation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitation Theory, Neutron Stars, Relativity, Stellar Mass, Astrophysics, Black Holes (Astronomy), Critical Mass, Metric Space

Scientific paper

The upper limit on neutron-star mass is investigated in the framework of Rosen's (1973) bimetric theory of gravitation. An exact solution for the 'core' mass is presented for a specific equation of state, and it is found that neutron stars have larger masses in the bimetric theory than in general relativity. An approximate mass-limit scaling law for any equation of state is outlined, results of numerical solutions are discussed for three different equations of state in the bimetric theory, and a maximum mass of 81 solar masses is obtained. It is concluded that the upper mass limit of a neutron star is critically dependent on the theory of gravity used to calculate it and that Cygnus X-1, whose mass is estimated at between 3 and 10 solar masses, may not necessarily be a black hole.

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