Stability of black-hole spacetimes
Linear stability of the Kerr family, the field equations for linearised gravity on Kerr, and spinor methods for studying them.
I work in mathematical general relativity, mainly on black-hole stability and on the asymptotic structure of spacetime at null infinity.
Linear stability of the Kerr family, the field equations for linearised gravity on Kerr, and spinor methods for studying them.
The compacted Geroch–Held–Penrose calculus as a tool for linear perturbations of type D vacuum spacetimes.
Duality symmetry of the Einstein equations beyond vacuum, its action on the covariant phase space, and the associated dual charges.
Asymptotically flat spacetimes in Bondi–Sachs and conformal Gaussian null coordinates, the BMS group, flux–balance laws, the gravitational memory effect and the supertranslation ambiguity of angular momentum, including higher-dimensional Bondi–Sachs computations in xAct.
Propagation of polarised light in weak gravitational fields and in gravitational Bessel-wave spacetimes; the relation between the gravitational spin Hall effect and geometric phases.
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