Palatini Variational Principle for an Extended Einstein-Hilbert Action
H. Burton, R. B. Mann
Abstract
We consider a Palatini variation on a generalized Einstein-Hilbert action. We find that the Hilbert constraint, that the connection equals the Christoffel symbol, arises only as a special case of this general action, while for particular values of the coefficients of this generalized action, the connection is completely unconstrained. We discuss the relationship between this situation and that usually encountered in the Palatini formulation.
Create a lesson
Related papers
Multimessenger astrophysics drives the case for an Australian Gravitational-Wave observatory
Fiona H. Panther, Paul D. Lasky, Nikhil Sarin
Binary black hole mergers in massive Einstein-scalar-Gauss-Bonnet gravity
Harry L. H. Shum, Llibert Aresté Saló, Miguel Bezares et al.
Noisy pipelines II: Non-parametric Noise Inference for LISA
Charlie Hoy, Joseph Bayley, Ollie Burke et al.
Quasi-Normal Modes of Covariant Loop Quantum Black Holes
Chao Zhang, Sushant G. Ghosh, Anzhong Wang
Kerr metric perturbations for second-order self-force theory
Benjamin Leather, Samuel D. Upton, Patrick Bourg et al.
Multi-domain spectral method for Kerr spacetimes: a hyperboloidal Teukolsky m-mode solver for self-force computations
Brad Cownden, Rodrigo Panosso Macedo, Christiana Pantelidou et al.