Stability of equilibrium self-gravitating models and the possibility of black hole formation in the jordan-brans-dicke theory

Details Stability of equilibrium self-gravitating models and the possibility of black hole formation in the jordan-brans-dicke theory Stability of equilibrium self-gravitating models and the possibility of black hole formation in the jordan-brans-dicke theory

Jul 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ap.....38..241a&link_type=abstract

Astrophysics, Volume 38, Issue 3, pp.241-247

Astronomy and Astrophysics

Astrophysics

Scientific paper

We show that, starting from the qualitative analysis of the solutions of the vacuum equations, one can conclude that, in contrast to the general theory of relativity, in the Jordan-Brans-Dicke theory gravitational collapse does not lead to the formation of black holes, but that no reliable determination of the existence or nonexistence of black holes in the Jordan-Brans-Dicke theory will be possible until the time-dependent equations have been solved numerically. We propose a method of solving the problem of stability of equilibrium self-gravitating configurations with respect to radial pulsations and state a criterion for stability.

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