First-order equivalent to Einstein-Hilbert Lagrangian
نویسندگان
چکیده
منابع مشابه
Lie–algebra expansions, Chern–Simons theories and the Einstein–Hilbert lagrangian
Starting from gravity as a Chern–Simons action for the AdS algebra in five dimensions, it is possible to deform the theory through an expansion of the Lie algebra that leads to a system consisting of the Einstein–Hilbert action plus nonminimally coupled matter. The deformed system is gauge invariant under the Poincaré group enlarged by an Abelian ideal. Although the resulting action naively loo...
متن کاملThe Symmetries of Equivalent Lagrangian Systems and Constants of Motion
In this paper Mathematical structure of time-dependent Lagrangian systems and their symmetries are extended and the explicit relation between constants of motion and infinitesimal symmetries of time-dependent Lagrangian systems are considered. Starting point is time-independent Lagrangian systems ,then we extend mathematical concepts of these systems such as equivalent lagrangian systems to th...
متن کاملA First-Order Augmented Lagrangian Method for Compressed Sensing
We propose a first-order augmented Lagrangian algorithm (FAL) for solving the basis pursuit problem. FAL computes a solution to this problem by inexactly solving a sequence of `1-regularized least squares sub-problems. These sub-problems are solved using an infinite memory proximal gradient algorithm wherein each update reduces to “shrinkage” or constrained “shrinkage”. We show that FAL converg...
متن کاملNew first-order formulation for the Einstein equations
We derive a new first-order formulation for Einstein’s equations which involves fewer unknowns than other first-order formulations that have been proposed. The new formulation is based on the 311 decomposition with arbitrary lapse and shift. In the reduction to first-order form only eight particular combinations of the 18 first derivatives of the spatial metric are introduced. In the case of li...
متن کاملA new first-order formulation for the Einstein equations
We derive a new first-order formulation for Einstein’s equations which involves fewer unknowns than other first-order formulations that have been proposed. The new formulation is based on the 3 + 1 decomposition with arbitrary lapse and shift. In the reduction to first order form only 8 particular combinations of the 18 first derivatives of the spatial metric are introduced. In the case of line...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2014
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4890555