Metric for Rotating object in Infrared Corrected Nonlocal Gravity Model

TL;DR

This paper derives a rotating spacetime metric within a nonlocal gravity model, compares it with General Relativity, and constrains the model's parameters using frame dragging observations.

Contribution

It introduces a method to obtain rotating metrics in nonlocal gravity and constrains the model using empirical data, extending previous static solutions.

Findings

Derived the rotating metric for nonlocal gravity models.

Established constraints on the model parameter M from observational data.

Compared frame dragging effects with General Relativity and Gravity Probe B results.

Abstract

Here, we derive the metric for the spacetime around rotating object for the gravity action having nonlocal correction of $R\Box^{-2} R $ to the Einstein-Hilbert action. Starting with the generic stationary, axisymmetric metric, we solve the equations of motion in linearized gravity limit for the modified action including energy-momentum tensor of the rotating mass. We also derive the rotating metric from the static metric using the Demanski-Janis-Newmann algorithm. Finally, we obtain the constraint on the value of $M$ by calculating the frame dragging effect in our theory and comparing it with that of General Relativity and Gravity Probe B results, where $M$ is the mass scale of the theory.