Abstract
Inflation in the early universe can generate the nearly conformal invariant fluctuation that leads to the structures we observe at the present. The simple viable Starobinsky R2 inflation has an approximate global scale symmetry. We study the conformal symmetric Weyl Rˆ2 and general F(Rˆ) theories and demonstrate their equivalence to Einstein gravity coupled with a scalar and a Weyl gauge field. The scalar field in Weyl Rˆ2 gravity can be responsible for inflation with Starobinsky model as the attractor, potentially distinguishable from the latter by future experiments. The intrinsic Weyl gauge boson becomes massive once the Einstein frame is fixed, and constitutes as a dark matter candidate with mass up to ∼5×1016GeV.
Highlights
The paradigm that there was an inflationary period in the early universe provides a compelling solution to the horizon and flatness problems [1,2,3,4], and explains the primordial origin for the almost scale-invariant density fluctuation that is responsible for the observed large scale structure in the late universe [5]
Weyl conformal symmetry with various studies have been explored in gauge theory of quantum gravity [9, 10], induced gravity [11,12,13,14,15], scale-invariant extensions of the standard model of particle physics [16,17,18,19,20,21,22,23], inflation and late cosmology [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50]
In this paper we study inflation and dark matter (DM) in the Weyl symmetric R2 and general F (R) gravity, where Ris the modified Ricci scalar that contains the Weyl gauge field intrinsically
Summary
The paradigm that there was an inflationary period in the early universe provides a compelling solution to the horizon and flatness problems [1,2,3,4], and explains the primordial origin for the almost scale-invariant density fluctuation that is responsible for the observed large scale structure in the late universe [5]. In this paper we study inflation and dark matter (DM) in the Weyl symmetric R2 and general F (R) gravity, where Ris the modified Ricci scalar that contains the Weyl gauge field intrinsically. We show these theories are equivalent to Einstein gravity coupled with a new scalar degree of freedom that can be responsible for inflation, and a Weyl gauge boson that can be a dark matter candidate. Μ, ν, ..., refer to spacetime indices, (0, 1, 2, 3)
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