## 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 |
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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 | |

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 |
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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 |
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Country/Territory | Bulgaria |

City | Varna |

Period | 17/06/19 → 23/06/19 |

## ASJC Scopus subject areas

- General Mathematics

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