Anandh Krishna Murichatta

Research

I work in mathematical general relativity, mainly on black-hole stability and on the asymptotic structure of spacetime at null infinity.

Current research

Stability of black-hole spacetimes

PhD project, Chalmers University of Technology, 2026–. Supervisor: Thomas Bäckdahl.

Linear stability of the Kerr family, the field equations for linearised gravity on Kerr, and spinor methods for studying them.

The compacted GHP formalism

The compacted Geroch–Held–Penrose calculus as a tool for linear perturbations of type D vacuum spacetimes.

Gravito-electromagnetic duality in general relativity

IUCAA, Pune, 2025. With Naresh Dadhich.

Duality symmetry of the Einstein equations beyond vacuum, its action on the covariant phase space, and the associated dual charges.

Earlier projects

Conformal structure, gravitational memory and angular momentum at null infinity

Master's thesis, AEI Potsdam and IUCAA, 2025–26. Supervisors: Sajad Aghapour and the late Naresh Dadhich.

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.

Gravitational Faraday and spin Hall effects

AEI Potsdam, 2023–24 (DAAD-WISE fellowship, summer 2024). With Sajad Aghapour.

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.

Publications and preprints

None yet.