Discrete symmetries and general relativity, the dark side of gravity
Résumé
The parity, time reversal and space/time exchange invariant actions, equations and their conjugate metric solutions are obtained in the context of a general relativistic model modified in order to take into account discrete symmetries. The equations are not covariant and the PPN formalism breaksdown however the new Schwarzschild metric solution in vacuum only starts to differ from that of General Relativity at the Post-Post-Newtonian order for a source at rest relative to the CMB. Preferred frame gravitomagnetic effects well above expectations in the PPN formalism and within the accuracy of the Gravity Probe B experiment are predicted. No coordinate singularity (black hole) arises in the privileged frame where the energy of gravity is found to vanish. The context is very promising to help the cancelation of vacuum energies as gravitational sources. A flat universe accelerated expansion phase is obtained without resorting to inflation nor a cosmological constant and the Big-Bang singularity is avoided. The Pioneer anomalous blue-shift is a natural outcome. The context is also promising to help us elucidate several outstanding enigmas such as flat galactic rotation curves or the universe voids. A wave solution is obtained leading to the same binary pulsar decay rate as observed and predicted in GR.
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