Quantum gravitational anomaly as a dark matter

Abstract

The general properties of a perfect relativistic fluid resulting from the quantum gravitational anomaly are investigated. It is found that, in the limit of a weak gravitational field, this fluid possesses a polytropic equation of state characterized by two universal constants: the polytropic constant and the natural polytropic index. Based on the astrophysical data, the estimates for the polytropic constant are given. It is shown that this fluid can describe a considerable part of the cold dark matter. The quantum theory of such a fluid is constructed in the framework of the background field method. The Ward identities associated with the entropy and vorticity conservation laws are derived. The leading gradient corrections to the pressure of the perfect fluid are found and the restrictions on their form are obtained. These restrictions guarantee, in particular, the absence of ghosts in the model. The second order nonlinear corrections to the equations of motion of a perfect relativistic fluid are analyzed and the explicit expressions for the transverse and longitudinal perturbations induced by a sufficiently strong sound wave are obtained. A dynamical solution to the problem of time in quantum gravity is proposed.

arXiv comment30 pp; some misprints corrected, elucidations and references added

References in corpus (20)

• Dust as a Standard of Space and Time in Canonical Quantum Gravity
• Fluid Dark Matter
• A new determination of the local dark matter density from the kinematics of K dwarfs
• The Gravitational Potential Near the Sun From SEGUE K-dwarf Kinematics
• Kinematical and chemical vertical structure of the Galactic thick disk II. A lack of dark matter in the solar neighborhood
• Simulated Dark-Matter Halos as a Test of Nonextensive Statistical Mechanics
• Lagrange structure and quantization
• Dark energy: myths and reality
• Excitation of Photons by Inflationary Gravitons
• Galaxy stability within a self-interacting dark matter halo
• Quantum Field Theory of Fluids
• Polytropic dark matter flows illuminate dark energy and accelerated expansion
• Viscosity of an ideal relativistic quantum fluid: A perturbative study
• The effective theory of fluids at NLO and implications for dark energy
• Rotation curves in Bose-Einstein Condensate Dark Matter Halos
• Dark halo microphysics and massive black hole scaling relations in galaxies
• Non-perturbative corrections to the one-loop free energy induced by a massive scalar field on a stationary slowly varying in space gravitational background
• Propagator of a scalar field on a stationary slowly varying gravitational background
• On Variational Principles for Gravitating Perfect Fluids
• Stellar polytropes and Navarro--Frenk--White dark matter halos: a connection to Tsallis entropy

Cited by in corpus (2)

• Large mass expansion of the one-loop effective action induced by a scalar field on the two-dimensional Minkowski background with non-trivial $(1+1)$ splitting
• Ultraviolet asymptotics of particle creation with respect to a congruence of observers