Tomoya Tachinami

Higher-curvature gravity in Weyl geometry: No-ghost and no-tachyon conditions

Weyl geometry, in which the length scale can be chosen independently at each point of spacetime, provides a natural framework for extending general relativity through Weyl invariance, that is, local scale symmetry. We construct a gravitational theory whose Lagrangian is an arbitrary function of the scalar curvature in...