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Conserved gravitational charges from Yano tensors
Yano tensor time and space conservation of gravity
2014/12/20
The defining properties of Yano tensors naturally generalize those of Killing vectors to anti-symmetric tensor fields of arbitrary rank. We show how the Yano tensors of flat spacetime can be used to c...
Do Killing–Yano tensors form a Lie algebra?
This time - Yano tensor vector and often the curvature of spacetime
2014/12/20
Killing–Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing–Yano tensors form a graded Lie algebra with respect to the Schouten–Nijenhuis bracket. We find that ...
All metrics have curvature tensors characterised by its invariants as a limit: the ε-property
curvature tensors ε-property General Relativity and Quantum Cosmology
2011/10/8
Abstract: We prove a generalisation of the $\epsilon$-property, namely that for any dimension and signature, a metric which is not characterised by its polynomial scalar curvature invariants, there is...
The formal solution of the second order Killing tensor equations for the general pp-wave spacetime is given. The Killing tensor equations are integrated fully for some specific pp-wave spacetimes.
Do the Ricci and energy-momentum tensors have "duality'' in the context of their Lie symmetries?
Ricci energy-momentum tensors
2010/12/20
The Ricci and energy-momentum tensors have the same algebraic sym-metries. In the Einstein equations they look “dual” to each other, in that interchang-ing them and inverting the gravitational couplin...