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Email: mphys11@ipb.ac.rs

Abstracts
Salvatore Capozziello
Gravitational waves in nonmetric gravity
We investigate gravitational waves in theories of gravity described by a nonmetric compatible connection, free from torsion and curvature, known as symmetricteleparallel gravity. We show that these theories exhibit only two massless and tensor modes. Their polarizations are transverse with helicity equal to two, exactly reproducing the plus and cross tensor modes typical of General Relativity. In order to analyze these gravitational waves, we first obtain the deviation equation of two trajectories followed by nearby freely falling pointlike particles and we find it to coincide with the geodesic deviation of General Relativity. This is because the energymomentum tensor of matter and field equations are LeviCivita covariantly conserved and, therefore, free structureless particles follow, also in nonmetric gravity, the General Relativity geodesics. Equivalently, it is possible to show that the curves are solutions of a force equation, where an extra force term of geometric origin, due to nonmetricity, modifies the autoparallel curves with respect to the nonmetric connection. In summary, gravitational waves produced in nonmetric theories of gravity behave as those in torsionbased gravity and it is not possible to distinguish them from those of General Relativity only by wave polarization measurements. This shows that the situation is different with respect to the curvaturebased theories of gravity where additional scalar modes emerge for extensions and are rigorously two only for the EinsteinHilbert theory.


Organizer:
Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Coorganizers:
Faculty of Mathematics
(University of Belgrade)
Belgrade, Serbia
Mathematical Institute
(Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Serbian Academy of Nonlinear Sciences (SANS)
Belgrade, Serbia
