On a relation between the Bach equation and the equation of geometrodynamics
M. V. Gorbatenko, A. V. Pushkin, H. -J. Schmidt
Abstract
The Bach equation and the equation of geometrodynamics are based on two quite different physical motivations, but in both approaches, the conformal properties of gravitation plays the key role. In this paper we present an analysis of the relation between these two equations and show that the solutions of the equation of geometrodynamics are of a more general nature. We show the following non-trivial result: there exists a conformally invariant Lagrangian, whose field equation generalizes the Bach equation and has as solutions those Ricci tensors which are solutions to the equation of geometrodynamics.
Create a lesson
Related papers
Spin-network states for the Bianchi I and IX cosmological models from quantum constrained symmetries
Matteo Bruno, Giovanni Montani, Edoardo Maria Panno
Entropy, area, and the choice of regulator during gravitational collapse
Jana N. Guenther, Christian Hoelbling, Sophie Mutzel et al.
On the Extended Kerr-Newman-Bertotti-Robinson Spacetime: Two Black Holes and a Naked Singularity in Bertotti-Robinson Universe
Yu-Sen Zhou, Wen-Tao Fu, Li-Ming Cao et al.
The return of Palatini inflationary attractors: Universal mapping of observables
Christian Dioguardi, Francesco Gianesello, Antonio Racioppi
Gravity from Invariant Weyl-Integrable space-time (IWIST)
José Edgar Madriz Aguilar, A. Bernal, M. Montes et al.
Quasinormal modes of Schwarzschild--AdS black holes with a near-horizon reflective surface
Libo Xie, Liang-Bi Wu, Yu-Sen Zhou et al.