SPACE, TIME AND FUNDAMENTAL INTERACTIONS

STABILITY OF ANTI-DE SITTER NEUTRON STARS IN THE THEORY OF GRAVITY WITH NONMINIMAL DERIVATIVE COUPLING

Kashargin P.E., Sushkov S.V.

In recent studies linear perturbations of a static and spherically symmetric background of neutron stars have been considered in full Horndesky’s theory, the propagation speeds of perturbations were derived and the stability conditions were obtained. In the present paper we applied this general stability conditions to the study of the neutron stars stability in theory of gravity with the scalar-derivative coupling of the Einstein tensor and the scalar field with the standard kinetic term and the cosmological constant. It was shown that there are stable stellar configurations in a wide class of model parameters \(l\) and \(\xi\) for which all squared speeds of perturbations, \(c^2_r\), \(c^2_\Omega\), \(c^2_{r3}\), \(c^2_{\Omega\pm}\) and \(\mathcal{K}\) are positive.