Toroidal oscillations of slowly rotating relativistic star in tensor-vector-scalar theory

TL;DR

This paper investigates toroidal oscillations in slowly rotating relativistic stars within TeVeS theory, finding that while oscillation equations mirror those in GR, differences in momentum inertia could help distinguish gravitational theories through precise observations.

Contribution

It demonstrates that the perturbation equations are identical to GR but highlights the potential of momentum inertia differences to test gravitational theories.

Findings

Oscillation equations are the same as in GR.

Frequencies are similar to GR.

Momentum inertia varies significantly with gravitational theory.

Abstract

We examine the toroidal oscillations on the slowly rotating relativistic stars in tensor-vector-scalar (TeVeS) theory with the Cowling approximation. As a result, we find that perturbation equations describing the toroidal oscillations are same equation form as in general relativity (GR). Although the frequencies of toroidal oscillations in TeVeS are not so different from those in GR, the momentum inertia depends strongly on the gravitational theory. Thus, observing the frequencies of toroidal oscillations and momentum inertia with high accuracy might reveal the gravitational theory in the strong-field regime.