Unimodular Constraint on global scale Invariance

Abstract

We study global scale invariance along with the unimodular gravity in the vacuum. The global scale invariant gravitational action which follows the unimodular general coordinate transformations is considered without invoking any scalar field. This is generalization of conformal theory described in the Ref. \cite{Mannheim}. The possible solutions for the gravitational potential under static linear field approximation are discussed. The new modified solution has additional corrections to the Schwarzschild solution which describe the galactic rotational curve. A comparative study of unimodular theory with conformal theory is also presented. Furthermore, the cosmological solution is studied and it is shown that the unimodular constraint preserve the de Sitter solution explaining the dark energy of the universe.

Modified version, 10 pages, 1 figure

References in corpus (9)

• The Milky Way's Circular Velocity Curve to 60 kpc and an Estimate of the Dark Matter Halo Mass from Kinematics of ~2400 SDSS Blue Horizontal Branch Stars
• Quantum scale invariance, cosmological constant and hierarchy problem
• Scale invariance, unimodular gravity and dark energy
• Analysis of Rotation Curves in the framework of R^n gravity
• Kinematical and chemical vertical structure of the Galactic thick disk II. A lack of dark matter in the solar neighborhood
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Testing Unimodular Gravity
• Cosmological Implications of a Scale Invariant Standard Model
• (Erratum) An f(R) gravitation for galactic environments

Cited by in corpus (11)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The bounce universe history from unimodular $F(R)$ gravity
• Unimodular $F(R)$ Gravity
• Unimodular $f(G)$ gravity
• Some solutions for one of the cosmological constant problems
• A reconstruction method for anisotropic universes in unimodular $F(R)$-gravity
• Cosmology of unimodular Born-Infeld-$f(R)$ gravity
• BRS structure of Simple Model of Cosmological Constant and Cosmology
• Sequestering Mechanism in Scalar-Tensor Gravity
• Unimodular Theory of Gravity in Light of the Latest Cosmological Data
• Topological Gravity motivated by Renormalization Group