Einstein gravity with torsion induced by the scalar field
arXiv:1611.07496 · doi:10.1016/j.aop.2018.04.012
Abstract
We couple a conformal scalar field in (2+1) dimensions to Einstein gravity with torsion. The field equations are obtained by a variational principle. We could not solve the Einstein and Cartan equations analytically. These equations are solved numerically with 4th order Runge-Kutta method. From the numerical solution, we make an ansatz for the rotation parameter in the proposed metric, which gives an analytical solution for the scalar field for asymptotic regions.
arXiv comment12 pages, 7 figures
References in corpus (24)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Planck 2015 results. XIII. Cosmological parameters
- Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
- The Black Hole in Three Dimensional Space Time
- Cosmological Constant - the Weight of the Vacuum
- The Cosmological Constant
- Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
- Geometry of the 2+1 Black Hole
- Physical Aspects of the Space-Time Torsion
- Black holes and asymptotics of 2+1 gravity coupled to a scalar field
- Conformally dressed black hole in 2+1 dimensions
- Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
- The Meaning of Einstein's Equation
- The Return of a Static Universe and the End of Cosmology
- Properties of Solutions in 2+1 Dimensions
- Einstein-Cartan Gravity with Torsion Field Serving as Origin for Cosmological Constant or Dark Energy Density
- Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field
- Exact radial solution in 2+1 gravity with a real scalar field
- Self-accelerating Universe in modified gravity with dynamical torsion
- 3D gravity with propagating torsion: the AdS sector
- "Exotic" black holes with torsion
- Scalar torsion and a new symmetry of general relativity
- 3D gravity with propagating torsion: Hamiltonian structure of the scalar sector