Stellar oscillations in TeVeS

Physics

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Scientific paper

In this work we examine the oscillation spectra of neutron stars in TeVeS. As a result with Cowling approximation, we find that the frequencies of fundamental modes in TeVeS could become lager than those expected in general relativity, while the dependence of frequency of higher overtone on gravitational theory is stronger than that of lower modes. Additionally, as a results of calculations with the assumption that the vector field is unperturbed, we also find that the dependences of frequencies of spacetime oscillations (w modes) on the stellar compactness are almost independent from the adopted equation of state and the parameter in TeVeS, and that these dependences of frequencies of axial w modes in TeVeS is obviously different from those expected in the general relativity. These imprints of TeVeS make it possible to distinguish the gravitational theory in strong-field regime via the observations of gravitational waves, which can provide unique confirmation of the existence of scalar field.

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