General relativity, the Dirac equation, and higher symmetries
نویسندگان
چکیده
منابع مشابه
Asymptotic Symmetries in General Relativity
The symmetries of flat Minkowski space-time are well known to be described by the Poincare group, and include translations and rotations. On the other hand, the symmetries of an asymptotically flat space-time are described by the infinite-dimensional BondiMatzner-Sachs (BMS) group. This group includes new types of transformations called supertranslations and superrotations, whose physical inter...
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cussed above would also involve modifications in the equations of macroscopic relativistic mechanics, since these would allow no creation or destruction of energy from the point of view of a local observer. These modifications might prove of interest for the problems of relativistic cosmology. The possible nature of the changes which could be introduced will be discussed in a following note.
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The problem of finding an appropriate geometrical/physical index for measuring a degree of inhomogeneity for a given space-time manifold is posed. Interrelations with the problem of understanding the gravitational/informational entropy are pointed out. An approach based on the notion of approximate symmetry is proposed. A number of related results on definitions of approximate symmetries known ...
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The eigenvalues of the Dirac operator on a curved spacetime are diffeomorphism-invariant functions of the geometry. They form an infinite set of “observables” for general relativity. Recent work of Chamseddine and Connes suggests that they can be taken as variables for an invariant description of the gravitational field’s dynamics. We compute the Poisson brackets of these eigenvalues and find t...
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The gauge symmetry inherent in Maxwell's electromagnetics has a profound impact on modern physics. Following the successful quantization of electromagnetics and other higher order gauge field theories, the gauge principle has been applied in various forms to quantize gravity. A notable development in this direction is loop quantum gravity based on the spin-gauge treatment. This paper considers ...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1978
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.75.6.2568