An essay on the Relativistic Theory of the Non-Symmetric Field Non-Symmetric f(R) theories of gravity Explaining the acceleration of the universe by the torsion of spacetime

We derive the framework of non-symmetric f(R) theories of gravity where both the metric and the connection can be non-symmetric and whose field equations are transposition invariant. Using the particular case of metric-affine f(R) theories of gravity with symmetric metric and non-symmetric connection, we show that the requirement of transposition invariance leads to formally stronger field equations with similar physical deductions. We also derive the modified Friedmann equations using the metric-affine framework and show how these equations lead to the ΛCDM cosmological model by simulating the negative pressure of dark energy through the torsion of spacetime.


The essay (version 6.7) is available in pdf , Tex , and DVI  formats.