LETTER: Gauge Invariance of Complex General Relativity |
| |
Authors: | Merced Montesinos José David Vergara |
| |
Institution: | (1) Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA;(2) Present address: Departamento de Física, Centro de Investigación y de Estudios Avanzados del I.P.N., Av. I.P.N. No. 2508, 07000 Ciudad de México, México;(3) Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, 70-543 Ciudad de México, México |
| |
Abstract: | In this paper it is implemented how to make compatible the boundary conditions and the gauge fixing conditions for complex general relativity written in terms of Ashtekar variables using the approach of Ref. 1]. Moreover, it is found that at first order in the gauge parameters, the Hamiltonian action is (on shell) fully gauge-invariant under the gauge symmetry generated by the first class constraints in the case when spacetime
has the topology % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWefv3ySLgznf% gDOfdaryqr1ngBPrginfgDObYtUvgaiuaacqWFZestcqWFaCFpcqGH% 9aqpcaWGsbGaey41aq7exLMBbXgBd9gzLbvyNv2CaeXbbjxAHXgiv5% wAJ9gzLbsttbacgaGaa43Odaaa!52EB!\\mathcal{M} = R \times \Sigma \] = R × and has no boundary. Thus, the statement that the constraints linear in the momenta do not contribute to the boundary terms is right, but only in the case when has no boundary. |
| |
Keywords: | Ashtekar variables boundary conditions gauge fixing conditions |
本文献已被 SpringerLink 等数据库收录! |
|