Higher derivative supersymmetric FRW cosmology

Journal Title
Journal ISSN
Volume Title
Benemérita Universidad Autónoma de Puebla
"Our aim in this work is quantum cosmology and we do not deal with perturbations, but instead consider a variant of homogeneous and isotropic, or FRW, universe. Under these symmetries, the gravitational field is represented by a single physical degree of freedom, the scale factor a(t). Considering only a cosmological constant, the dynamics is governed by the Friedmann and acceleration (or Raychaudhuri) equations. These can be derived from an effective one-dimensional (time) action that results from evaluating the four-dimensional, say Einstein-Hilbert, action at the FRW metric. As a remnant of general covariance, we still have time-reparameterization invariance, made manifest by the gauge field, N(t), called lapse. This gauge freedom gives rise to a constrained dynamics; since there is not preferred time parameter, the Hamiltonian is zero. Canonical quantization leads to a greatly simplified, although nontrivial, version of the Wheeler-DeWitt equation mentioned above. Configuration space is given by the possible values of the scale factor and some other (homogeneous) matter fields. It is, therefore, a space with a small number of dimensions, called generically mini-superspace. Since the wave function does not depend on time, it sets the problem of how to recover the notion of an evolving universe".
Document Viewer
Select a file to preview:
Can't see the file? Try reloading