Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole

TL;DR

This paper investigates how leading higher derivative corrections affect the multipole moments of Kerr-Newman black holes, revealing invariance under field redefinitions and the potential for parity-odd terms to induce observable effects.

Contribution

It provides the first detailed analysis of higher derivative corrections to black hole multipole moments, including parity-odd effects, within an effective quantum gravity framework.

Findings

Multipole moments are invariant under field redefinitions.

Parity-odd corrections can activate previously vanishing multipole moments.

The results have potential observational implications for black hole physics.

Abstract

We study the (leading) 4-derivative corrections, including both parity even and odd terms, to electrically-charged Kerr-Newman black holes. The linear perturbative equations are then solved order by order in terms of two dimensionless rotating and charge parameters. The solution allows us to extract the multipole moments of mass and current from the metric as well as the electric and magnetic multipole moments from the Maxwell field. We find that all the multipole moments are invariant under the field redefinition, indicating they are well-defined physical observables in this effective theory approach to quantum gravity. We also find that parity-odd corrections can turn on the multipole moments that vanish in Einstein theory, which may have significant observational implications.