Two-dimensional background field gravity: A Hamilton-Jacobi analysis

Two-dimensional background field gravity: A Hamilton-Jacobi analysis

2D-gravity and the Hamilton-Jacobi formalism

Hamilton-Jacobi formalism is used to study 2D-gravity and its SL(2, R) hidden symmetry. If the contribution of the surface term is considered the obtained results coincide with those given by the Dirac and Faddeev-Jackiw approaches. On leave of absence from Institute of Space Sciences, P.O BOX, MG-23, R 76900 Magurele-Bucharest, Romania, E-mail: [email protected] E-Mail: [email protected]...

Periodic Structure in Two-dimensional Riemann Problems for Hamilton-jacobi Equations Periodic Structure in Two-dimensional Riemann Problems for Hamilton-jacobi Equations

of the Dissertation Periodic Structure in Two-Dimensional Riemann Problems for Hamilton-Jacobi Equations by John Dominick Pinezich Doctor of Philosophy in Applied Mathematics and Statistics State University of New York at Stony Brook 1998 This dissertation investigates the structure of two-dimensional Riemann problems for Hamilton-Jacobi equations. We show that it is possible for the Riemann so...

Hamilton–Jacobi counterterms for Einstein–Gauss–Bonnet gravity

The on-shell gravitational action and the boundary stress tensor are essential ingredients in the study of black hole thermodynamics. We employ the Hamilton–Jacobi method to calculate the boundary counterterms necessary to remove the divergences and allow the study of the thermodynamics of Einstein–Gauss–Bonnet black holes. PACS numbers: 04.20.Fy, 04.50.Gh, 04.70.Dy, 11.10.Kk

Hamilton-Jacobi Solutions for Strongly-Coupled Gravity and Matter

A Green’s function method is developed for solving strongly-coupled gravity and matter in the semiclassical limit. In the strong-coupling limit, one assumes that Newton’s constant approaches infinity, G → ∞. As a result, one may neglect second order spatial gradients, and each spatial point evolves like an homogeneous universe. After constructing the Green’s function solution to the Hamiltonian...