Nahomi Kan and Kiyoshi Shiraishi 2003 Class. Quantum Grav. 20 4965 doi:10.1088/0264-9381/20/23/001
Nahomi Kan1 and Kiyoshi Shiraishi2
Show affiliationsBeginning with the Pauli–Fierz theory, we construct a model for multi-graviton theory. Couplings between gravitons belonging to nearest-neighbour 'theory spaces' lead to a discrete mass spectrum. Our model coincides with the Kaluza–Klein theory whose fifth dimension is latticized. We evaluate one-loop vacuum energy in models with a circular latticized extra dimension as well as with compact continuous dimensions. We find that the vacuum energy can take a positive value, if the dimension of the continuous spacetime is 6, 10, .... Moreover, since the amount of vacuum energy can be an arbitrary small value depending on the choice of parameters in the model, our models are useful for explaining the small positive dark energy in the present universe.
04.50.-h Higher-dimensional gravity and other theories of gravity
83E15 Kaluza-Klein and other higher-dimensional theories
83C27 Lattice gravity, Regge calculus and other discrete methods
Issue 23 (7 December 2003)
Received 28 February 2003
Published 17 October 2003
Nahomi Kan and Kiyoshi Shiraishi 2003 Class. Quantum Grav. 20 4965
Akihiro Ishibashi and Robert M Wald 2003 Class. Quantum Grav. 20 3815
H F Dowker and S N Thambyahpillai 2003 Class. Quantum Grav. 20 127
P G Grove and A C Ottewill 1985 Class. Quantum Grav. 2 373
J B Griffiths and P Docherty 2002 Class. Quantum Grav. 19 L109
Mihai Bondarescu et al 2002 Class. Quantum Grav. 19 375
Akiteru Takamori et al 2002 Class. Quantum Grav. 19 1615
V Pravda and A Pravdová 2001 Class. Quantum Grav. 18 1205
E G Adelberger 2001 Class. Quantum Grav. 18 2397
Yoshitaka Degura and Kiyoshi Shiraishi 2000 Class. Quantum Grav. 17 4031