Work

Modified Hamiltonian Formalism for Regge-Teitelboim Cosmology

Year: 2014

Type: article

Abstract: The Ostrogradski approach for the Hamiltonian formalism of higher derivative theory is not satisfactory because the Lagrangian cannot be viewed as a function on the tangent bundle to coordinate manifold. In this paper, we have used an alternative approach which leads directly to the Lagrangian which, being a function on the tangent manifold, gives correct equation of motion; no new coordinate variables need to be added. This approach can be used directly to the singular (in Ostrogradski sense) Lagrangian. We have used this method for the Regge-Teitelboim (RT) minisuperspace cosmological model. We have obtained the Hamiltonian of the dynamical equation of the scale factor of RT model.

Source: Physics Research International

DOI: 10.1155/2014/606727

Authors: Pinaki Patra, Md. Raju, Gargi Manna, Jyoti Prasad Saha

Institution: University of Kalyani

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funder: Department of Science and Technology, Ministry of Science and Technology, India

OpenAlex ID: W2010617552