TY - GEN

T1 - Gauge Theory of Gravity Based on the Correspondence Between the$$1^{st}$$ and the$$2^{nd}$$ Order Formalisms

AU - Benisty, D.

AU - Guendelman, E. I.

AU - Struckmeier, J.

N1 - 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:
© 2020, Springer Nature Singapore Pte Ltd.

PY - 2020/1/1

Y1 - 2020/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=85094165814&partnerID=8YFLogxK

U2 - 10.1007/978-981-15-7775-8_21

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

M3 - Conference contribution

AN - SCOPUS:85094165814

SN - 9789811577741

T3 - Springer Proceedings in Mathematics and Statistics

SP - 309

EP - 316

BT - Lie Theory and Its Applications in Physics, 2019

A2 - Dobrev, Vladimir

PB - Springer

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

Y2 - 17 June 2019 through 23 June 2019

ER -