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2023, no. 1

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 Horndeskys 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.

Keywords: theory of gravity with nonminimal derivative coupling, neutron stars, stability.

UDC: 530.122

PACS: 04.40

DOI: 10.17238/issn2226-8812.2023.1.8590

Please cite this article in English as:
Kashargin P.E., Sushkov S.V. Stability of anti-de Sitter neutron stars in the theory of gravity with nonminimal derivative coupling. Space, Time and Fundamental Interactions, 2023, no. 1, pp. 8590.