Published April 2016 | Version v1
Journal article Metadata-only

Wheeler-DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology

Creators

  • 1. Universidad Austral de Chile, Instituto de Ciencias Fisicas y Matematicas, Valdivia (Chile)
  • 2. University of Athens, Faculty of Physics, Department of Astronomy-Astrophysics-Mechanics, Athens (Greece)
  • 3. Istituto Nazionale di Fisica Nucleare (INFN) Sez. di Napoli, Naples (Italy)
  • 4. Complesso Universitario di Monte S. Angelo, Naples (Italy)
  • 5. Universita' di Napoli Federico II, Complesso Universitario di Monte S. Angelo, Dipartimento di Fisica ''E. Pancini'', Naples (Italy)
  • 6. Institute for Theoretical Physics, Wroclaw (Poland)
  • 7. Gran Sasso Science Institute (INFN), L'Aquila (Italy)

Description

Lie symmetries are discussed for the Wheeler-De Witt equation in Bianchi Class A cosmologies. In particular, we consider general relativity, minimally coupled scalar-field gravity and hybrid gravity as paradigmatic examples of the approach. Several invariant solutions are determined and classified according to the form of the scalar-field potential. The approach gives rise to a suitable method to select classical solutions and it is based on the first principle of the existence of symmetries. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjc/s10052-016-4087-8

Additional details

Identifiers

DOI
10.1140/epjc/s10052-016-4087-8;

Publishing Information

Journal Title
European Physical Journal. C, Particles and Fields (Online)
Journal Volume
76
Journal Issue
4
Journal Page Range
p. 1-14
ISSN
1434-6052

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
47080661
Subject category
S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
Descriptors DEI
ANALYTICAL SOLUTION; CONFORMAL INVARIANCE; COSMOLOGICAL MODELS; EINSTEIN FIELD EQUATIONS; GENERAL RELATIVITY THEORY; GRAVITATION; HAMILTON-JACOBI EQUATIONS; KLEIN-GORDON EQUATION; LAGRANGE EQUATIONS; LAGRANGIAN FIELD THEORY; METRICS; POTENTIALS; SCALAR FIELDS; SO-3 GROUPS; SPACE-TIME; SYMMETRY; TENSOR FIELDS; WAVE FUNCTIONS; WKB APPROXIMATION
Descriptors DEC
APPROXIMATIONS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; RELATIVITY THEORY; SO GROUPS; SYMMETRY GROUPS; WAVE EQUATIONS