# The description of gravitational waves in geometric scalar gravity

## TL;DR

This paper explores gravitational waves within the geometric scalar gravity theory, revealing their propagation characteristics, polarization modes, energy, and implications for binary systems, constrained by pulsar observations.

## Contribution

It introduces a scalar gravity model with disformal metric transformation, analyzing gravitational wave properties and observational constraints, which differs from general relativity.

## Key findings

- Gravitational waves propagate at light speed in GSG.
- They exhibit a characteristic longitudinal polarization mode.
- Observational data constrains the theory parameter.

## Abstract

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is constructed from a disformal transformation of Minkowski geometry. In this theory, a weak field approximation gives rise to a description similar to that one obtained in general relativity, with the gravitational waves propagating at the same speed as the light, although they have a characteristic longitudinal polarization mode, besides others modes that are observer dependent. We also analyze the energy carried by the gravitational waves as well as how their emission affects the orbital period of a binary system. Observational data coming from Hulse and Taylor binary pulsar is then used to constraint the theory parameter.