Gauge Theory of Gravity Based on the Correspondence Between the$$1^{st}$$ and the$$2^{nd}$$ 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$$1^{st}$$ and 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 (Print)	9789811577741
DOIs	https://doi.org/10.1007/978-981-15-7775-8_21
State	Published - 1 Jan 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

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

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Benisty, D., Guendelman, E. I., & Struckmeier, J. (2020). Gauge Theory of Gravity Based on the Correspondence Between the$$1^{st}$$ and the$$2^{nd}$$ Order Formalisms. In V. Dobrev (Ed.), Lie Theory and Its Applications in Physics, 2019 (pp. 309-316). (Springer Proceedings in Mathematics and Statistics; Vol. 335). Springer. https://doi.org/10.1007/978-981-15-7775-8_21

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title = "Gauge Theory of Gravity Based on the Correspondence Between the\$\$1\textasciicircum{}\{st\}\$\$ and the\$\$2\textasciicircum{}\{nd\}\$\$ 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 = "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",

year = "2020",

month = jan,

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doi = "10.1007/978-981-15-7775-8\_21",

language = "English",

isbn = "9789811577741",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer",

pages = "309--316",

editor = "Vladimir Dobrev",

booktitle = "Lie Theory and Its Applications in Physics, 2019",

address = "Germany",

}

Benisty, D, Guendelman, EI & Struckmeier, J 2020, Gauge Theory of Gravity Based on the Correspondence Between the$$1^{st}$$ and 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$$1^{st}$$ and 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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N2 - 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.

AB - 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.

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SN - 9789811577741

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T2 - 13th International Workshop on Lie Theory and Its Applications in Physics, LT 2019

Y2 - 17 June 2019 through 23 June 2019

ER -

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

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