Gravitational breathing memory and dual symmetries

Gravitational observables and local symmetries.

Using a recent classification of local symmetries of the vacuum Einstein equations, it is shown that there can be no observables for the vacuum gravitational field (in a closed universe) built as spatial integrals of local functions of Cauchy data and their derivatives.

Gravitational Billiards, Dualities and Hidden Symmetries

The purpose of this article is to highlight the fascinating, but only very incompletely understood relation between Einstein’s theory and its generalizations on the one hand, and the theory of indefinite, and in particular hyperbolic, Kac Moody algebras on the other. The elucidation of this link could lead to yet another revolution in our understanding of Einstein’s theory and attempts to quant...

Yang-Mills origin of gravitational symmetries.

By regarding gravity as the convolution of left and right Yang-Mills theories together with a spectator scalar field in the biadjoint representation, we derive in linearized approximation, the gravitational symmetries of general covariance, p-form gauge invariance, local Lorentz invariance, and local supersymmetry from the flat space Yang-Mills symmetries of local gauge invariance and global su...

Symmetries of the dual metrics

In this paper the symmetries of the dual manifold were investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors. In the case of an Einstein’s metric gμν the corresponding equations for its dual were found. The examples of Kerr-Newman geometry and the separable coordinates in 1 + 1 dimensions were analyzed in details.

Twisting, type-N vacuum gravitational fields with symmetries.