A solution of the van Dam-Veltman-Zakharov discontinuity problem in the frame of the Poincare-covariant field gravitation theory

Jun 14, 2019
12 pages
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Abstract: (arXiv)
The van Dam-Veltman-Zakharov (vDVZ) mass discontinuity problem can be solved in the frame of the linear approximation of the Poincare-covariant second rank symmetric tensor field gravitation theory. Conservation of the source energy-momentum tensor, together with gauge invariance of the field equations, lead to generation of two intrinsic irreducible non-ghost dynamical fields: 4-traceless symmetric tensor (spin-2 universal attraction) and 4-trace (spin-0 universal repulsion). Due to difference in the signs of these forces the total free field Lagrangian contains different signs for the tensor and scalar dynamical fields. Generalized Fierz-Pauli mass term in total spin-2 plus spin-0 Lagrangian gives natural massless limit for mg --> 0, so the mass discontinuity paradox is absent. The Newtonian gravity and relativistic gravity effects, including positive localizable energy density of both parts of the gravitational field, are derived. Experimental test of the reality of the dynamical spin-0 repulsive field can be performed by LIGO-Virgo gravitational wave observations.
Note:
  • 12 pages, 31 ref
  • vDVZ problem
  • quantum gravity
  • Poincar´e-covariant gravity
  • symmetric tensor field
  • attraction and repulsion fields
  • gravitational waves
  • approximation: linear
  • field theory: tensor
  • gravitation: model
  • field equations: solution