Gauge Theory of Gravity Based on the Correspondence Between the 1st and the 2nd Order Formalisms

D. Benisty; E. I. Guendelman; J. Struckmeier

doi:10.1007/978-981-15-7775-8_21

Gauge Theory of Gravity Based on the Correspondence Between the 1^stand the 2^nd Order Formalisms

D. Benisty, E. I. Guendelman, J. Struckmeier

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

A covariant canonical gauge theory of gravity free from torsion is studied. Using a metric conjugate momentum and a connection conjugate momentum, which takes the form of the Riemann tensor, a gauge theory of gravity is formulated, with form-invariant Hamiltonian. Through the introduction of the metric conjugate momenta, a correspondence between the Affine-Palatini formalism and the metric formalism is established. When the dynamical gravitational Hamiltonian does not depend on the metric conjugate momenta, a metric compatibility is obtained from the equations of motion and the equations of motion correspond to the solution is the metric formalism.

Original language	English
Title of host publication	Lie Theory and Its Applications in Physics, 2019
Editors	Vladimir Dobrev
Publisher	Springer
Pages	309-316
Number of pages	8
ISBN (Electronic)	978-981-15-7775-8
ISBN (Print)	9789811577741
DOIs	https://doi.org/10.1007/978-981-15-7775-8_21
State	Published - 16 Oct 2020
Event	13th International Workshop on Lie Theory and Its Applications in Physics, LT 2019 - Varna, Bulgaria Duration: 17 Jun 2019 → 23 Jun 2019

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	335
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	13th International Workshop on Lie Theory and Its Applications in Physics, LT 2019
Country/Territory	Bulgaria
City	Varna
Period	17/06/19 → 23/06/19

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-981-15-7775-8_21

Cite this

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title = "Gauge Theory of Gravity Based on the Correspondence Between the 1st and the 2nd Order Formalisms",

abstract = "A covariant canonical gauge theory of gravity free from torsion is studied. Using a metric conjugate momentum and a connection conjugate momentum, which takes the form of the Riemann tensor, a gauge theory of gravity is formulated, with form-invariant Hamiltonian. Through the introduction of the metric conjugate momenta, a correspondence between the Affine-Palatini formalism and the metric formalism is established. When the dynamical gravitational Hamiltonian does not depend on the metric conjugate momenta, a metric compatibility is obtained from the equations of motion and the equations of motion correspond to the solution is the metric formalism.",

author = "D. Benisty and Guendelman, {E. I.} and J. Struckmeier",

note = "Funding Information: Acknowledgements We gratefully acknowledge support of our collaboration through the Exchange Agreement between Ben-Gurion University, Beer-Sheva, Israel and Bulgarian Academy of Sciences, Sofia, Bulgaria. D.B. partially supported by COST Actions CA15117, CA16104 and the action CA18108. Publisher Copyright: {\textcopyright} 2020, Springer Nature Singapore Pte Ltd.; 13th International Workshop on Lie Theory and Its Applications in Physics, LT 2019 ; Conference date: 17-06-2019 Through 23-06-2019",

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language = "English",

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Benisty, D, Guendelman, EI & Struckmeier, J 2020, Gauge Theory of Gravity Based on the Correspondence Between the 1^stand the 2^nd Order Formalisms. in V Dobrev (ed.), Lie Theory and Its Applications in Physics, 2019. Springer Proceedings in Mathematics and Statistics, vol. 335, Springer, pp. 309-316, 13th International Workshop on Lie Theory and Its Applications in Physics, LT 2019, Varna, Bulgaria, 17/06/19. https://doi.org/10.1007/978-981-15-7775-8_21

Gauge Theory of Gravity Based on the Correspondence Between the 1^stand the 2^nd Order Formalisms. / Benisty, D.; Guendelman, E. I.; Struckmeier, J.
Lie Theory and Its Applications in Physics, 2019. ed. / Vladimir Dobrev. Springer, 2020. p. 309-316 (Springer Proceedings in Mathematics and Statistics; Vol. 335).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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