Multipole moments of compact objects with NUT charge: Theoretical and observational implications

Abstract

We derive the multipole moments of the Kerr-NUT black hole spacetime using the Geroch-Hansen formalism, even though the spacetime is not asymptotically flat. Intriguingly, in the presence of the NUT charge, the absence of reflection symmetry about the equatorial plane, leads to mass and spin multipole moments of all orders, in stark contrast to Kerr-like spacetimes. This leads to a drastic departure of the multipolar structure of a compact object with NUT charge, whose implications for gravitational wave observations have been explored. Our analysis of multipole moments for the Kerr-NUT spacetime is also in tune with the Thorne's approach.

v2, 33 pages, 1 figure

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• Black Hole Multipoles in Higher-Derivative Gravity
• Towards establishing the presence or absence of horizons in coalescing binaries of compact objects by using their gravitational wave signals
• Probing horizon scale quantum effects with Love
• Gravitational Multipoles in General Stationary Spacetimes
• Possible connection between the reflection symmetry and existence of equatorial circular orbit
• Gravitational radiation close to a black hole horizon: Waveform regularization and the out-going echo
• Transition from inspiral to plunge for braneworld EMRI
• Gravitational multipole moments for asymptotically de Sitter spacetimes
• Optical images of the Kerr-Sen black hole and thin accretion disk
• Gravitational-wave echoes from spinning exotic compact objects: numerical waveforms from the Teukolsky equation
• Pure Gauss-Bonnet NUT Black Hole Solution: II
• Tests for the existence of horizon through gravitational waves from a small binary in the vicinity of a massive object
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