Maxwell-like picture of General Relativity and its Planck limit

  title={Maxwell-like picture of General Relativity and its Planck limit},
  author={Piotr Ogonowski and Piotr Skindzier},
We show that Geroch decomposition leads us to Maxwell-like representation of gravity in $(3+1)$ metrics decomposition that may be perceived as Lorentz invariant version of GEM. For such decomposition we derive four-potential $V^\mu$ and gravitational field tensor $F^{\mu\nu}$ that is associated with gravitational interaction. Next we show that gravitational four-current $J^\mu$ derived for introduced four-potential produce energy-stress tensor and reproduce main General Relativity formula. Next… CONTINUE READING