Three-dimensional background field gravity: a Hamilton--Jacobi analysis

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

The Three-Dimensional Quantum Hamilton-Jacobi Equation and Microstates

In a stationary case and for any potential, we solve the three-dimensional quantum Hamilton-Jacobi equation in terms of the solutions of the corresponding Schrödinger equation. Then, in the case of separated variables, by requiring that the conjugate momentum be invariant under any linear transformation of the solutions of the Schrödinger equation used in the reduced action, we clearly identify...

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]...

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...