Minisuperspace quantum cosmology from the Einstein-Cartan path integral
نویسندگان
چکیده
We derive the fixed-$\mathrm{\ensuremath{\Lambda}}$ and unimodular propagators using path integral formalism as applied to Einstein-Cartan action. The simplicity of action (which is linear in lapse function) allows for an exact integration starting from function enforcement Hamiltonian constraint, leading a product Chern-Simons states if connection fixed at endpoints. No saddle point approximation needed. Should metric be endpoints, then, depending on contour chosen connection, Hartle-Hawking or Vilenkin are obtained. Thus, this approach one trades choice where appropriate. also trivial obtain via integral, previously derived expressions recovered.
منابع مشابه
Path-integral quantum cosmology: A class of exactly soluble scalar-field minisuperspace models with exponential potentials.
We study a class of minisuperspace models consisting of a homogeneous isotropic universe with a minimally coupled homogeneous scalar field with a potential ct cosh{2')+P sinh{2$), where a and P are arbitrary parameters. This includes the case of a pure exponential potential exp{2$), which arises in the dimensional reduction to four dimensions of five-dimensional Kaluza-Klein theory. We study th...
متن کامل2 Metric Perturbations in Einstein - Cartan Cosmology
Metric perturbations the stability of solution of Einstein-Cartan cosmology (ECC) are given. The first addresses the stability of solutions of Einstein-Cartan (EC) cosmological model against Einstein static universe background. In this solution we show that the metric is stable against first-order perturbations and correspond to acoustic oscillations. The second example deals with the stability...
متن کامل0 Extended Thermodynamics to Einstein - Cartan Cosmology
The thermodynamics is extented to spacetimes with spin-torsion density.Impplications to Einstein-Cartan-de Sitter inflationary phases are discussed.A relation between the spin-torsion density,entropy and temperature is presented.A lower limit for the radius of the Universe may be obtained from the spin-torsion density and the Planck lenght.
متن کاملp-ADIC AND ADELIC MINISUPERSPACE QUANTUM COSMOLOGY
We consider formulation and some elaboration of p-adic and adelic quantum cosmology. Adelic generalization of the Hartle-Hawking proposal does not work in models with matter fields. p-Adic and adelic minisuperspace quantum cosmology is well defined as an ordinary application of p-adic and adelic quantum mechanics. It is illustrated by a few of minisuperspace cosmological models in one, two and ...
متن کاملOn Duru-Kleinert Path Integral in Quantum Cosmology
We show that the Duru-Kleinert fixed energy amplitude leads to the path integral for the propagation amplitude in the closed FRW quantum cosmology with scale factor as one degree of freedom. Then, using the Duru-Kleinert equivalence of corresponding actions, we calculate the tunneling rate, with exact prefactor, through the dilute-instanton approximation to first order in h̄. ∗e-mail: tabriz u@v...
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: Physical review
سال: 2023
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.107.023526