Mathematics – Logic
Scientific paper
Mar 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cqgra..21.1443s&link_type=abstract
Classical and Quantum Gravity, Volume 21, Issue 6, pp. 1443-1451 (2004).
Mathematics
Logic
8
Scientific paper
We derive the Dirac equation in the Euclidean version of the Newman Penrose formalism and show that it splits into two sets of equations, particle and anti-particle equations, under the swapping symmetry and these equations are coupled, respectively, with the self-dual and anti-self-dual parts of the gauge in the gravity. We also solve it for Eguchi Hanson and Bianchi VII0 gravitational instanton metrics. The solutions are obtained for the Bianchi VII0 gravitational instanton metric as exponential functions by using complex variable ξ and for the Eguchi Hanson gravitational instanton metric as the product of two hypergeometric functions. In addition, we discuss the regularity and the swapping symmetry of the solutions and show that the topological index of the Dirac equation is zero for both of these metrics.
Sucu Yusuf
Unal Nuri
No associations
LandOfFree
Dirac equation in Euclidean Newman Penrose formalism with applications to instanton metrics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dirac equation in Euclidean Newman Penrose formalism with applications to instanton metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dirac equation in Euclidean Newman Penrose formalism with applications to instanton metrics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1131111