Routh Reduction of Palatini Gravity in Vacuum

被引：0
|
作者：
Capriotti, Santiago [1 ]
机构：
[1] Univ Nacl Sur, Dept Matemat, Inst Matemat Bahia Blanca INMABB, CONICET, Av Alem 1253, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2020年 / 16卷
关键词：
symmetry reduction; Palatini gravity; frame bundle; GENERAL-RELATIVITY; PRINCIPAL BUNDLES; EQUATIONS;
D O I：
10.3842/SIGMA.2020.046
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An interpretation of Einstein-Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a suitable bundle. In this setting Einstein-Hilbert gravity can be considered as a kind of Routh reduction of the underlying field theory for Palatini gravity. As a byproduct of this approach, a novel set of conditions for the existence of a vielbein for a given metric is found.
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页数：50
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