Gravitomagnetic effects in quadratic gravity with a scalar field

TL;DR

This paper derives the equations for gravitomagnetic effects in quadratic gravity with a scalar field, comparing them to general relativity, and explores their implications for bodies orbiting rotating sources.

Contribution

It introduces the derivation of gravitomagnetic effects in quadratic gravity with a scalar field, extending the understanding beyond general relativity.

Findings

Derived equations for gravitomagnetic effects in quadratic gravity

Compared these effects to those predicted by general relativity

Analyzed the influence of a rotating source on orbiting bodies

Abstract

The two gravitomagnetic effects which influence bodies orbiting around a gravitational source are the geodetic effect and the Lense-Thirring effect. The former describes the precession angle of the axis of a spinning gyroscope while in orbit around a nonrotating gravitational source whereas the latter provides a correction for this angle in the case of a spinning source. In this paper we derive the relevant equations in quadratic gravity and relate them to their equivalents in general relativity. Starting with an investigation into Kepler's third law in quadratic gravity with a scalar field, the effects of an axisymmetric and rotating gravitational source on an orbiting body in a circular, equatorial orbit are introduced.