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Massless particles in three-dimensional Lorentzian warped products

Massless particles in three-dimensional Lorentzian warped products

The model of a massless relativistic particle with curvature-dependent Lagrangian is well known in (d+1)-dimensional Minkowski space. For other gravitational fields less rigid than those with constant (zero) curvature only a few results are known. In this paper, we give a geometric approach in order to solve the field equations …