Unimodular gravity with external sources

Abstract

The only allowed source of the gravitational field in the unimodular theory, invariant under area-preserving (transverse) diffeomorphisms as well as Weyl transformations, is just the traceless piece of the energy-momentum tensor. This fact notwithstanding, the free energy produced by arbitrary sources (not only static ones) is identical to the one predicted by general relativity. This encompasses all weak field tests of gravitation.

14 pages. Extended introduction; typos corrected; cosmetic changes

References in corpus (5)

• Transverse Fierz-Pauli symmetry
• Limit Cycles and Conformal Invariance
• Unimodular cosmology and the weight of energy
• Probing the small distance structure of canonical quantum gravity using the conformal group
• The weight of matter

Cited by in corpus (23)

• Quantum Corrections to Unimodular Gravity
• On the UV structure of quantum unimodular gravity
• Cosmological Perturbations in Unimodular Gravity
• Unimodular $f(R,T)$ Gravity
• Unimodular Gravity Redux
• On the Lagrangian formulation of the double copy to cubic order
• On the gauge symmetries of Maxwell-like higher-spin Lagrangians
• New perspective on thermodynamics of spacetime: The emergence of unimodular gravity and the equivalence of entropies
• Nonconservative unimodular gravity: a viable cosmological scenario
• Analyzing modified unimodular gravity via Lagrange multipliers
• No Conformal Anomaly in Unimodular Gravity
• Black holes in multi-fractional and Lorentz-violating models
• First Order formulation of Unimodular Gravity
• Thermodynamics of spacetime and unimodular gravity
• What do gravitons say about (unimodular) gravity?
• Noether charge formalism for Weyl invariant theories of gravity
• Noether charge formalism for Weyl transverse gravity
• Gauge symmetry of unimodular gravity in Hamiltonian formalism
• Friedmann equations and cosmic bounce in a modified cosmological scenario
• Reducible gauge symmetry versus unfree gauge symmetry in Hamiltonian formalism
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• From spacetime thermodynamics to Weyl transverse gravity
• Unimodular Cosmological Space-times