Hamiltonians for a general dilaton gravity theory on a spacetime with a non-orthogonal, timelike or spacelike outer boundary

TL;DR

This paper extends Hamiltonian formulations to a broad class of dilaton gravity theories in higher dimensions with various boundary types, enabling better understanding of their dynamics and boundary conditions.

Contribution

It generalizes recent Hamiltonian approaches to include arbitrary (d+1)-dimensional dilaton gravity theories with non-orthogonal, timelike, or spacelike boundaries.

Findings

Provides a unified Hamiltonian framework for diverse dilaton gravity models.

Enables analysis of boundary conditions in complex gravitational systems.

Facilitates future research on quantum aspects of dilaton gravity.

Abstract

A generalization of two recently proposed general relativity Hamiltonians, to the case of a general (d+1)-dimensional dilaton gravity theory in a manifold with a timelike or spacelike outer boundary, is presented.