The Area Metric Reality Constraint in Classical General Relativity
| dc.creator | Maran, Suresh K | |
| dc.date | 2005-04-20 | |
| dc.date | 2005-09-25 | |
| dc.date.accessioned | 2026-07-07T06:19:04Z | |
| dc.date.available | 2026-07-07T06:19:04Z | |
| dc.description | A classical foundation for an idea of reality condition in the context of spin foams (Barrett-Crane models) is developed. I extract classical real general relativity (all signatures) from complex general relativity by imposing the area metric reality constraint; the area metric is real iff a non-degenerate metric is real or imaginary. First I review the Plebanski theory of complex general relativity starting from a complex vectorial action. Then I modify the theory by adding a Lagrange multiplier to impose the area metric reality condition and derive classical real general relativity. I investigate two types of action: Complex and Real. All the non-trivial solutions of the field equations of the theory with the complex action correspond to real general relativity. Half the non-trivial solutions of the field equations of the theory with the real action correspond to real general relativity. Discretization of the area metric reality constraint in the context of Barrett-Crane theory is discussed. In the context of Barrett-Crane theory the area metric reality condition is equivalent to the condition that the scalar products of the bivectors associated to the triangles of a four simplex be real. The Plebanski formalism for the degenerate case and Palatini formalism are also briefly discussed by including the area metric reality condition. | |
| dc.description | The title has been changed. A new section on the simplicial discretization of the area metric reality constraint and GR actions has been introduced. Certain errors in field equations has been corrected. English has been improved, sections edited and reorganized | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0504091 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0504091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94947 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Area Metric Reality Constraint in Classical General Relativity | |
| dc.type | text |