Unimodular quantum gravity and the cosmological constant

Abstract

It is shown that the one-loop effective action of unimodular gravity is the same as that of ordinary gravity, restricted to unimodular metrics. The only difference is in the treatment of the global scale degree of freedom and of the cosmological term. A constant vacuum energy does not gravitate, addressing one aspect of the cosmological constant problem.

Prepared for the proceedings of the workshop "Black holes, gravitational waves and spacetime singularities", held at the Vatican Observatory, Castel Gandolfo (Rome) May 9 - 12, 2017

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Cited by in corpus (41)

• Quantum gravity: a fluctuating point of view
• Unimodular Gravity vs General Relativity: A status report
• A link that matters: Towards phenomenological tests of unimodular asymptotic safety
• New Weyl-invariant vector-tensor theory for the cosmological constant
• Losing the trace to find dynamical Newton or Planck constants
• Can quantum fluctuations differentiate between standard and unimodular gravity?
• Exploring new corners of asymptotically safe unimodular quantum gravity
• Diffusion in unimodular gravity: Analytical solutions, late-time acceleration, and cosmological constraints
• Covariant BRST Quantization of Unimodular Gravity I -- Formulation with antisymmetric tensor ghosts --
• The Cosmological Constant as a Zero Action Boundary
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
• Interacting dark sector from the trace-free Einstein equations: cosmological perturbations with no instability
• Non-minimal Tinges of Unimodular Gravity
• Nonconservative unimodular gravity: a viable cosmological scenario
• Compact objects in unimodular gravity
• BRST Quantization of General Relativity in Unimodular Gauge and Unimodular Gravity
• A note on unfree gauge symmetry
• Unfree gauge symmetry in the BV formalism
• Off-shell unimodular N=1, d=4 supergravity
• Unfree gauge symmetry in the Hamiltonian formalism
• Reference level of the vacuum energy density of the Universe and astrophysical data
• The cosmological constant as a boundary term
• Hamiltonian constraints and unfree gauge symmetry
• Gauge symmetry of unimodular gravity in Hamiltonian formalism
• The continuum limit of quantum gravity at second order in perturbation theory
• Restricted Gauge Theory Formalism and Unimodular Gravity
• Unimodular Quadratic Gravity and the Cosmological Constant
• Hamiltonian BFV-BRST Quantization for the Systems with Unfree Gauge Symmetry
• A note on unimodular $N=1,d=4$ AdS supergravity
• Lie and Leibniz Algebras of Lower-Degree Conservation Laws
• Reducible gauge symmetry versus unfree gauge symmetry in Hamiltonian formalism
• The quantum dynamics of Lagrange multipliers
• Unimodular gravity as an initial value problem
• Unimodular Plebański Gravity
• Weighing the Vacuum Energy
• Massive Unimodular Gravity
• Nonexistence of a parent theory for general relativity and unimodular gravity
• Unimodular time in JT gravity: a holographic clock
• Covariant BRST Quantization of Unimodular Gravity II -- Formulation with a vector antighost --
• Running Einstein Constant and a Possible Vacuum State of the Universe