# Orbital and epicyclic frequencies in massive scalar-tensor theory with self-interaction

## TL;DR

This paper investigates how massive scalar-tensor theories with self-interaction affect orbital and epicyclic frequencies near neutron stars, providing potential observational signatures to test deviations from general relativity.

## Contribution

It introduces calculations of orbital and epicyclic frequencies within massive scalar-tensor theories, highlighting their deviations from general relativity in strong gravity regimes.

## Key findings

- Significant deviations in frequencies from GR predictions for certain parameter values.
- Potential to use quasi-periodic oscillations to test scalar-tensor theories.
- Enhanced understanding of strong-field gravity effects in alternative theories.

## Abstract

Testing modified theories of gravity with direct observations of the parameters of a neutron star is not the optimal way of testing gravitational theories. However, observing electromagnetic signals originating from the close vicinity of the compact object my turn out an excellent way of probing spacetime in strong field regime. A promising candidate for doing so are the so-called quasi-periodic oscillations, observed in the X-ray light curves of some pulsars. Although the origin of those oscillations is unknown, one thing most of the models describing them have in common is that in one way or another they incorporate the radius of the innermost stable circular obit, and the orbital and the epicyclic frequencies of particles moving around the compact object. In this paper we study the aforementioned quantities in the context of massive scalar-tensor theory and massive scalar-tensor theory with self-interaction, both of which in strong regime allow for significant deviations from General relativity for values for the free parameters of the theory in correlation with the observations.