You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Theory of Gravitation in Hamiltonian Form
P. A. M. Dirac
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 246, No. 1246 (Aug. 19, 1958), pp. 333-343
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/100497
Page Count: 11
You can always find the topics here!Topics: Equations of motion, Velocity, Degrees of freedom, Gravitation, Mathematical surfaces, Gravitational fields, Gravitation theory, Lagrangian function, Approximation, Particle interactions
Were these topics helpful?See something inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
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 affecting the equations of motion, which causes four of the ten degrees of freedom associated with the ten gμ ν to drop out of the Hamiltonian formalism. This simplification can be achieved only at the expense of abandoning four-dimensional symmetry. In the weak field approximation one can make a Fourier resolution of the field quantities, and one then gets a clean separation of those degrees of freedom whose variables depend on the system of co-ordinates from those whose variables do not. There are four of the former and two of the latter for each Fourier component. The two latter correspond to gravitational waves with two independent states of polarization. One of the four former is responsible for the Newtonian attraction between masses and also gives a negative gravitational self-energy for each mass.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1958 Royal Society