Hamiltonian analysis for new massive gravity
Alberto Escalante (Puebla U., Inst. Fis.), P. Fernando Oca\~na, Garc\'ia (Puebla U., Inst. Fis.)
TL;DR
This paper provides a comprehensive Hamiltonian analysis of three-dimensional massive gravity, clarifying its constraint structure, degrees of freedom, and stability properties.
Contribution
It offers the first detailed canonical analysis of new massive gravity, including Dirac brackets, constraints, and stability, addressing previous gaps in understanding.
Findings
Complete Dirac brackets constructed
Constraint structure fully characterized
Extended Hamiltonian shown to be free from Ostrogradsky instabilities
Abstract
A detailed canonical analysis for three-dimensional massive gravity is performed. The construction of the fundamental Dirac brackets, the complete structure of the constraints and the counting of the physical degrees of freedom are reported. In addition, it is shown that the extended Hamiltonian is healed from Orstrogradki's instabilities.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Geophysics and Gravity Measurements