Classical and Quantum Cosmology of Multigravity
arXiv:1004.5435 · doi:10.1088/0264-9381/27/22/225010
Abstract
Recently, a multigraviton theory on a simple closed circuit graph corresponding to the discretization of compactification of the Kaluza-Klein (KK) theory has been considered. In the present paper, we extend this theory to that on a general graph and study what modes of particles are included. Furthermore, we generalize it in a possible nonlinear theory based on the vierbein formalism and study classical and quantum cosmological solutions in the theory. We found that scale factors in a solution for this theory repeat acceleration and deceleration.
17 pages, 15 figures, RevTeX4.1, revised version
References in corpus (19)
- (De)Constructing Dimensions
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
- Effective Lagrangians and Universality Classes of Nonlinear Bigravity
- Spontaneous Lorentz Breaking and Massive Gravity
- Quantum cosmology with big-brake singularity
- Discrete Gravitational Dimensions
- Constructing Gravitational Dimensions
- Nonlinear Properties of Vielbein Massive Gravity
- Bigravity and Lorentz-violating Massive Gravity
- Global structure of bigravity solutions
- Multi-graviton theory, a latticized dimension, and the cosmological constant
- No multi-graviton theories in the presence of a Dirac field
- Multisupergravity from latticized extra dimension
- Divergences in QED on a Graph
- Chiral gravity as a covariant formulation of massive gravity
- No interactions for a collection of spin-two fields intermediated by a massive Rarita-Schwinger field
- Discretized Gravity in 6D Warped Space
- Massless Limits of Massive Tensor Fields II --- Infrared regularization of Fierz-Pauli model ---