5 papers
On the Plebanski Formulation with Energy Momentum
Jack C. M. Hughes, Joudy F. Jamal Beek, Fedor V. Kusmartsev
In Plebanski's formulation the coupling of matter is less direct than in the metric formulation since the energy-momentum tensor is symmetric, while the Plebanski variable…
Warped Product Einstein Manifolds in Four Dimensions
Jack C. M. Hughes, Joudy F. Jamal Beek, Fedor V. Kusmartsev
On four-dimensional (pseudo-)Riemannian manifolds the curvature tensor (viewed as an endomorphism on 2-forms) admits a chiral matrix representation which…
Encoding the Einstein Equations into an Algebraic Commutator Condition
Jack C. M. Hughes, Fedor V. Kusmartsev
We show that the structure of the Lorentz group in four dimensions is such that unimodular (trace-free) gravity can be consistently represented as an algebraic condition on the sym…
Topological Origin of Horizon Temperature via the Chern-Gauss-Bonnet Theorem
Jack C. M. Hughes, Fedor V. Kusmartsev
This paper establishes a connection between the Hawking temperature of spacetime horizons and global topological invariants, specifically the Euler characteristic of Wick-rotated E…
Connecting 2-Forms, Conformal Transformations, Curvature Invariants and Topological Classes in Einstein Spacetimes
Jack C. M. Hughes, Fedor V. Kusmartsev
The unique Nature of the Lorentz group in four dimensions is the root cause of the many remarkable properties of the Einstein spacetimes, in particular their operational structure…