102 citations · 810 across the 20 of their papers we have counts for
5 papers · 1 filter
Self-force as a cosmic censor in the Kerr overspinning problem
Marta Colleoni, Leor Barack, Abhay G. Shah +1
It is known that a near-extremal Kerr black hole can be spun up beyond its extremal limit by capturing a test particle. Here we show that overspinning is always averted once back-r…
Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
Maarten van de Meent, Abhay G. Shah
We present the first numerical calculation of the (local) metric perturbation produced by a small compact object moving on an eccentric equatorial geodesic around a Kerr black hole…
Linear-in-mass-ratio contribution to spin precession and tidal invariants in Schwarzschild spacetime at very high post-Newtonian order
Abhay G. Shah, Adam Pound
Using black hole perturbation theory and arbitrary-precision computer algebra, we obtain the post-Newtonian (pN) expansions of the linear-in-mass-ratio corrections to the spin-prec…
Experimental mathematics meets gravitational self-force
Nathan K. Johnson-McDaniel, Abhay G. Shah, Bernard F. Whiting
It is now possible to compute linear in mass-ratio terms in the post-Newtonian (PN) expansion for compact binaries to very high orders using black hole perturbation theory applied…
Raising and Lowering operators of spin-weighted spheroidal harmonics
Abhay G. Shah, Bernard F. Whiting
In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to linear-in- spin-weighted spheroidal harmonics where is an additio…