The gravitational Hamiltonian, first order action, Poincaré charges and surface terms
نویسندگان
چکیده
منابع مشابه
The Gravitational Hamiltonian , Action , Entropy and Surface Terms
We give a general derivation of the gravitational hamiltonian starting from the Einstein-Hilbert action, keeping track of all surface terms. The surface term that arises in the hamiltonian can be taken as the definition of the ‘total energy’, even for spacetimes that are not asymptotically flat. (In the asymptotically flat case, it agrees with the usual ADM energy.) We also discuss the relation...
متن کاملSurface terms and the Gauss-Bonnet Hamiltonian
We derive the gravitational Hamiltonian starting from the Gauss-Bonnet action, keeping track of all surface terms. This is done using the language of orthonormal frames and forms to keep things as tidy as possible. The surface terms in the Hamiltonian give a remarkably simple expression for the total energy of a spacetime. This expression is consistent with energy expressions found in hep-th/02...
متن کاملQuasilocal energy and conserved charges derived from the gravitational action.
The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained by employing a Hamilton–Jacobi analysis of the action functional. First, a surface stress–energy–momentum tensor is defined by the functional derivative of the action with respect to the three–metric on B, the history of the system’s boundary. Energy density, momentum density, and spatial stress a...
متن کاملGravitational Duality , Branes and Charges
It is argued that D = 10 type II strings and M-theory in D = 11 have D − 5 branes and 9-branes that are not standard p-branes coupled to anti-symmetric tensors. The global charges in a D-dimensional theory of gravity consist of a momentum P M and a dual D − 5 form charge K M1...MD−5 , which is related to the NUT charge. On dimensional reduction, P gives the electric charge and K the magnetic ch...
متن کاملSubharmonic Solutions for First-order Hamiltonian Systems
In this article, we study the existence of periodic and subharmonic solutions for a class of non-autonomous first-order Hamiltonian systems such that the nonlinearity has a growth at infinity faster than |x|α, 0 ≤ α < 1. We also study the minimality of periods for such solutions. Our results are illustrated by specific examples. The proofs are based on the least action principle and a generaliz...
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: Classical and Quantum Gravity
سال: 2015
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/32/19/195024