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Where are linearized gauge invariants encoded for plane waves in linearized gravity?
R. Radhakrishnan, D. McNutt, D. Mirfendereski +3
The Newman--Penrose (NP) formalism is traditionally used to analyze the polarization content of gravitational waves, while the gauge-invariant Bardeen formalism provides a compleme…
Unique Carrollian manifolds emerging from Einstein spacetimes
S. Blitz, D. McNutt, P. Nurowski
We explicitly determine all shear-free null hypersurfaces embedded in an Einstein spacetime, including vacuum asymptotically flat spacetimes. We characterize these hypersurfaces as…
IDEAL characterization of vacuum pp-waves
Igor Khavkine, David McNutt, Lode Wylleman
An IDEAL characterization of a particular spacetime metric, , consists of a set of tensorial equations arising from expressions constructed from the metric, , it…
Detecting horizons of symmetric black holes using relative differential invariants
David McNutt, Eivind Schneider
Let be a nontrivial finite-dimensional Lie algebra of vector fields on a manifold M, and consider the family of Lorentzian metrics on M whose Killing algebra contain…
Horizons that Gyre and Gimble: A Differential Characterization of Null Hypersurfaces
Samuel Blitz, David McNutt
Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a nu…
-Preserving Diffeomorphisms of Lorentzian Manifolds
D. D. McNutt, M. T. Aadne
We examine the existence of one parameter groups of diffeomorphisms whose infinitesimal generators annihilate all scalar polynomial curvature invariants through the application of…