• Corpus ID: 231693045

Coordinate conditions and field equations for pure composite gravity

@inproceedings{Ottinger2021CoordinateCA,
  title={Coordinate conditions and field equations for pure composite gravity},
  author={Hans Christian Ottinger},
  year={2021}
}
Whenever an alternative theory of gravity is formulated in a background Minkowski space, the conditions characterizing admissible coordinate systems, in which the alternative theory of gravity may be applied, play an important role. We here propose Lorentz covariant coordinate conditions for the composite theory of pure gravity developed from the Yang-Mills theory based on the Lorentz group, thereby completing this previously proposed higher derivative theory of gravity. The physically relevant… 

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SHOWING 1-10 OF 33 REFERENCES
Mathematical structure and physical content of composite gravity in weak-field approximation
The natural constraints for the weak-field approximation to composite gravity, which is obtained by expressing the gauge vector fields of the Yang-Mills theory based on the Lorentz group in terms of
The Geometrical Trinity of Gravity
The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational
Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
We obtain the Ward identities and the gauge-dependence of Green's functions in non-Abelian gauge theories by using only the canonical commutation relations and the equations of motion for the
The theory of gravitation in Hamiltonian form
  • P. Dirac
  • Physics
    Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
  • 1958
The author's generalized procedure for putting a theory into Hamiltonian form is applied to Einstein’s theory of gravitation. It is shown that one can make a change in the action density, not
Extended Theories of Gravity
The gauge treatment of gravity
BRST quantization of Yang-Mills theory: A purely Hamiltonian approach on Fock space
We develop the basic ideas and equations for the BRST quantization of Yang-Mills theories in an explicit Hamiltonian approach, without any reference to the Lagrangian approach at any stage of the
Renormalization of Higher Derivative Quantum Gravity
Gravitational actions which include terms quadratic in the curvature tensor are renormalizable. The necessary Slavnov identities are derived from Becchi-Rouet-Stora (BRS) transformations of the
Classical gravity with higher derivatives
Inclusion of the four-derivative terms ∫RμνRμν(−g)1/2 and ∫R2(−g)1/2 into the gravitational action gives a class of effectively multimass models of gravity. In addition to the usual massless
Nonlocal gauge theories
Nonlocal gauge theories, including gravitation, are considered. It is shown that to give a meaning to /gamma//sub 5/-anomalous theories it is sufficient to introduce an additional nonlocal
...
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