求解作用引力电磁场和标量场的 Hamilton-Jacobi 方程
摘要
Parry、Salopek 和 Stewart recently developed the spatial gradient expansion of the generating functional to solve the Hamiltonian constraint in Einstein-Hamilton-Jacobi theory for gravitationally interacting dust and scalar fields. This expansion is used here to derive an order-by-order solution of the Hamiltonian constraint for gravitationally interacting electromagnetic and scalar fields. A conformal transformation and functional integral are used to derive the generating functional up to the terms fourth order in spatial gradients. The perturbations of a flat Friedmann-Robertson-Walker cosmology with a scalar field, up to second order in spatial gradients, are given. The application of this formalism is demonstrated in the specific example of an exponential potential.
引用
@article{arxiv.gr-qc/9707046,
title = {Solving the Hamilton-Jacobi equation for gravitationally interacting electromagnetic and scalar fields},
author = {B. K. Darian},
journal= {arXiv preprint arXiv:gr-qc/9707046},
year = {2009}
}
备注
14 pages, uses amsmath,amssymb, referees' suggestions implemented, to appear in Classical and Quantum Gravity