HIGHER CURVATURE THEORIES OF GRAVITY IN THE ADM CANONICAL FORMALISM-Reference-Cited by-同舟云学术

HIGHER CURVATURE THEORIES OF GRAVITY IN THE ADM CANONICAL FORMALISM

Published:2011-01 Issue: Volume:01 Page:297-302
ISSN:2010-1945
Container-title:International Journal of Modern Physics: Conference Series
language:en
Short-container-title:Int. J. Mod. Phys. Conf. Ser.

Author:

SENDOUDA YUUITI¹,DERUELLE NATHALIE²,SASAKI MISAO¹,YAMAUCHI DAISUKE¹

Affiliation:

1. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606–8502, Japan

2. APC, UMR 7164 (CNRS, Université Paris 7, CEA, Observatoire de Paris) 10, rue Alice Domon et Lonie Duquet, 75205 Paris Cedex 13, France

Abstract

We present a canonical formulation for higher-curvature theories of gravity whose action is a generic function of Riemann tensor. The Arnowitt–Deser–Misner canonical formalism is employed to identify the extra gravitational dynamical degrees of freedom other than metric. We also find a surface term that gives Dirichlet boundary conditions for the dynamical degrees of freedom.

Publisher

World Scientific Pub Co Pte Lt

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010194511000432

Reference5 articles.

1. R. Arnowitt, S. Deser and C. W. Misner, Gravitation: an introduction to current research, ed. L. Witten (John Wiley & Sons, Inc., New York, 1962) pp. 227–265, arXiv:gr-qc/0405109.

2. Role of Conformal Three-Geometry in the Dynamics of Gravitation

3. Action integrals and partition functions in quantum gravity

4. Classical gravity with higher derivatives

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