Hamiltonian formulation of curvature squared action

Author： Sanyal Abhik  

Publisher： Springer Publishing Company

ISSN： 0001-7701

Source： General Relativity and Gravitation, Vol.37, Iss.12, 2005-12, pp. : 1957-1983

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The Hamiltonian formulation of curvature squared action requires suitable choice of auxiliary variables. It has been observed here that for correct classical and quantum description, curvature squared action should be supplemented by a boundary term . Further a part of the boundary term viz. should be eliminated prior to the introduction of the auxiliary variable. In the process auxiliary variable becomes unique and model dependent. The phase spaces corresponding to isotropic and anisotropic minisuperspace models are found to be spanned by different sets of variables. Thus there does not exist a general quantum dynamical equation like Wheeler-DeWitt one, that is valid for both isotropic and anisotropic models.

Related content

Hamiltonian Formulation and Action Principle for the Lorentz-Dirac System

By Kupriyanov V.  

International Journal of Theoretical Physics, Vol. 45, Iss. 6, 2006-06 ,pp. : 1091-1106 (16)

Springer Publishing Company

Access to resources Recommend Favorite

Curvature representation of the gonihedric action

By Koutsoumbas G.   Savvidy G. K.   Savvidy K. G.  

EPL (EUROPHYSICS LETTERS), Vol. 36, Iss. 5, 2010-03 ,pp. : 331-336 (6)

Edp Sciences

Access to resources Recommend Favorite

Variational Formulation for the Multisymplectic Hamiltonian Systems

By Chen Jing-Bo  

Letters in Mathematical Physics, Vol. 71, Iss. 3, 2005-03 ,pp. : 243-253 (11)

Springer Publishing Company

Access to resources Recommend Favorite

The Hamiltonian formulation of tetrad gravity: Three-dimensional case

By Frolov A.  

Gravitation and Cosmology, Vol. 16, Iss. 3, 2010-07 ,pp. : 181-194 (14)

MAIK Nauka/Interperiodica

Access to resources Recommend Favorite

ADM-like Hamiltonian formulation of gravity in the teleparallel geometry

By Okołów Andrzej  

General Relativity and Gravitation, Vol. 45, Iss. 12, 2013-12 ,pp. : 2569-2610 (42)

Springer Publishing Company

Access to resources Recommend Favorite