General Relativity as a constrained Gauge Theory
نویسندگان
چکیده
The formulation of General Relativity presented in [1] and the Hamiltonian formulation of Gauge theories described in [2] are made to interact. The resulting scheme allows to see General Relativity as a constrained Gauge theory. Mathematics Subject Classification: 70S05, 70S15, 81T13
منابع مشابه
0 Hamiltonian structure and gauge symmetries of Poincaré gauge theory ∗
This is a review of the constrained dynamical structure of Poincaré gauge theory which concentrates on the basic canonical and gauge properties of the theory, including the identification of constraints, gauge symmetries and conservation laws. As an interesting example of the general approach we discuss the teleparallel formulation of general relativity.
متن کاملGravity and Gauge Theory∗
Gauge theories are theories that are invariant under a characteristic group of gauge transformations. General relativity is invariant under transformations of the diffeomorphism group. This has prompted many philosophers and physicists to treat general relativity as a gauge theory, and diffeomorphisms as gauge transformations. I argue that this approach is misguided. The theories of three of ...
متن کاملBulk Viscous Bianchi Type VI0 Cosmological Model in the Self-creation Theory of Gravitation and in the General Theory of Relativity
In the second self-creation theory of gravitation and in the general theory of relativity, Bianchi type VI0 cosmological model in the presence of viscous fluid is studied. An exact solution of the field equations is given by considering the cosmological model yields a constant decelerations parameter q=constant and the coefficients of the metric are taken as A(t)=[c1t+c<su...
متن کامل“ Gauge ” in General Relativity : — Second - order general relativistic gauge - invariant perturbation theory —
As in the case of the other gauge field theories, there is so called “gauge” also in general relativity. This “gauge” is unphysical degree of freedom. There are two kinds of “gauges” in general relativity. These are called the firstand the second-kind of gauges, respectively. The gauge of the first kind is just coordinate system on a single manifold. On the other hand, the gauge of the second k...
متن کاملIs Barbero’s Hamiltonian formulation a Gauge Theory of Lorentzian Gravity?
This letter is a critique of Barbero’s constrained Hamiltonian formulation of General Relativity on which current work in Loop Quantum Gravity is based. We show that if one tries to interpret Barbero’s real SO(3) connection as a space–time gauge field, the theory is not diffeomorphism invariant. In this respect, Barbero’s connection is quite different from Ashtekar’s, which does admit a space–t...
متن کامل