Some reasons to consider Weyl geometric gravity in present day physics

  • Eberhard Scholz (Fachbereich C Mathematik und Naturwissenschaften, Universität Wuppertal)
A3 01 (Sophus-Lie room)


Weyl geometry constitutes an intermediate link between conformal and (pseudo-) Riemannian geometry. Although proposed by H. Weyl in 1918 with a unified field theory in mind, it reappeared in gravity theory in the second half of the 20th century and may be of interest for present day reflections on foundational questions in physics. In the talk I intend to discuss (shortly) the following points:

  • Introduction to Weyl geometry and a slight generalization of Einstein gravity (WOUD gravity) built upon it in the 1970s by Omote, Utiyama, and Dirac
  • Relationship to Jordan-Brans-Dicke gravity and the question of frame choice
  • Structural similarity of the electroweak extended WOUD Lagrangian with the Higgs potential and some related questions,
  • and another look at cosmological building from the vantage point of the Weyl geometric (and WOUD gravity) extension of Riemannian geometry (and Einstein gravity).

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail