Cohomology and Mp Spacetimes

  title={Cohomology and Mp Spacetimes},
  author={MP Spacetimes and Richard J Atkins},
This paper pursues a cohomological formulation for gravitation in which gravity might be expressed in terms of a gravitational potential, much in the spirit of electrodynamics. To this end we introduce a cochain complex consisting of (n+ 2)-tensors, symmetric in two indices and skew-symmetric in the remaining n indices. The cohomology of the complex is shown to be isomorphic to the Čech cohomology of an appropriately defined sheaf of functions. Furthermore, it is demonstrated that in isotropic… CONTINUE READING