caa a22 4500 445386339 CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1265-8 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1265-8 Affine gravity, Palatini formalism and charges [Elektronische Daten] [Joseph Katz, Gideon Livshits] Affine gravity and the Palatini formalism contribute both to produce a simple and unique formula for calculating charges at spatial and null infinity for Lovelock type Lagrangians whose variational derivatives do not depend on second-order derivatives of the field components. The method is based on the covariant generalization due to Julia and Silva of the Regge-Teitelboim procedure that was used to define properly the mass in the classical formulation of Einstein's theory of gravity. Numerous applications reproduce standard results obtained by other secure but mostly specialized method like in ADM energy for asymptotically flat spacetimes and in Abbot and Deser for asymptotically de Sitter and anti-de Sitter spacetimes, both at spatial infinity. As a novel application we calculate the Bondi energy loss in five dimensional gravity, based on the asymptotic solution given by Tanabe etal. and obtain, as expected, the same result. We also give the for Einstein-Gauss-Bonnet gravity and find the superpotential for Lovelock theories of gravity when the number of dimensions tends to infinity with maximally symmetrical boundaries. The paper is written in standard component formalism. Springer Science+Business Media, LLC, 2011 Affine gravity nationallicence Palatini formalism nationallicence Lovelock gravity nationallicence Charges at null infinity nationallicence Katz Joseph The Racah Institute of Physics, The Hebrew University, Givat Ram, 91904, Jerusalem, Israel aut Livshits Gideon Institute of Chemistry, The Hebrew University, Givat Ram, 91904, Jerusalem, Israel aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3313-3336 0001-7701 43:12<3313 2011 43 10714 https://doi.org/10.1007/s10714-011-1265-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1265-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Katz Joseph The Racah Institute of Physics, The Hebrew University, Givat Ram, 91904, Jerusalem, Israel aut NATIONALLICENCE 700 1- Livshits Gideon Institute of Chemistry, The Hebrew University, Givat Ram, 91904, Jerusalem, Israel aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3313-3336 0001-7701 43:12<3313 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer