DARBOUX PARAMETER FOR EMPTY FRW QUANTUM UNIVERSES AND QUANTUM COSMOLOGICAL SINGULARITIES
نویسندگان
چکیده
منابع مشابه
Darboux Parameter for Empty Frw Quantum Universes and Quantum Cosmological Singularities
I present the factorization(s) of the Wheeler-DeWitt equation for vacuum FRW minisuperspace universes of arbitrary Hartle-Hawking factor ordering, including the so-called strictly isospectral supersymmetric method. By the latter means, one can introduce an infinite class of singular FRW minisuperspace wavefunctions characterized by a Darboux parameter that mathematically speaking is a Riccati i...
متن کاملDarboux Parameter for Frw “quantum” Universes
I perform the factorization(s) of the Wheeler-DeWitt equation for the FRW minisuperspace universes of arbitrary Hartle-Hawking factor ordering introducing by this means a new, Darboux-type, free parameter in “quantum” cosmology. This parameter can be thought of as giving the time scale of a force due to a cosmological field. Mathematically speaking, the parameter is a Riccati integration consta...
متن کاملQuantum Potential and Cosmological Singularities
We apply the de Broglie-Bohm interpretation to the Wheeler-DeWitt equation for the quantum FRW cosmological model with a minimal massless scalar field. We find that the quantum FRW cosmological model has quantum potential dominated solutions that avoid the initial and the final cosmological singularities. It is suggested that the quantum potential and the back-reaction of geometry and matter fi...
متن کاملCanonical and quantum FRW cosmological solutions in M-theory∗
We present the canonical and quantum cosmological investigation of a spatially flat, four-dimensional Friedmann-Robertson-Walker (FRW) model that is derived from the M-theory effective action obtained originally by Billyard, Coley, Lidsey and Nilsson (BCLN). The analysis makes use of two sets of canonical variables, the Shanmugadhasan gauge invariant canonical variables and the “hybrid” variabl...
متن کاملQuantum Resolution of Cosmological Singularities using AdS/CFT
The AdS/CFT correspondence allows us to map a dynamical cosmology to a dual quantum field theory living on the boundary of spacetime. Specifically, we study a five-dimensional model cosmology in type IIB supergravity, where the dual theory is an unstable deformation of N = 4 supersymmetric SU(N) gauge theory on IR×S3. A one-loop computation shows that the coupling governing the instability is a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1998
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732398000280