Bryan Kelleher 2004 Class. Quantum Grav. 21 2623 doi:10.1088/0264-9381/21/11/008
Bryan Kelleher
Show affiliationsRecently, a scale invariant theory was constructed by imposing a conformal symmetry on general relativity. The imposition of this symmetry changed the configuration space from superspace—the space of all Riemannian 3-metrics modulo diffeomorphisms—to conformal superspace—the space of all Riemannian 3-metrics modulo diffeomorphisms and conformal transformations. However, despite numerous attractive features, the theory suffers from at least one major problem: the volume of the universe is no longer a dynamical variable. In attempting to resolve this problem a new theory is found which has several surprising and attractive features from both quantization and cosmological perspectives. Furthermore, it is an extremely restrictive theory and thus may provide testable predictions quickly and easily. One particularly interesting feature of the theory is the resolution of the cosmological constant problem.
04.20.Fy Canonical formalism, Lagrangians, and variational principles
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 11 (7 June 2004)
Received 21 October 2003
Published 26 April 2004
Bryan Kelleher 2004 Class. Quantum Grav. 21 2623
C Richard et al 1998 J. Phys. A: Math. Gen. 31 6385
Mikołaj Korzyński 2007 Class. Quantum Grav. 24 5935
S Patnaik et al 2001 Supercond. Sci. Technol. 14 315
Jani Lukkarinen 1999 J. Phys. A: Math. Gen. 32 287
J M Stewart 1990 Class. Quantum Grav. 7 1169
Alberto C de la Torre 2008 Eur. J. Phys. 29 567
D K Gramotnev and T A Nieminen 1999 J. Opt. A: Pure Appl. Opt. 1 635
Carl M Bender and Stefan Boettcher 1998 J. Phys. A: Math. Gen. 31 L273
Franz J Kaiser et al 2008 New J. Phys. 10 065013