General Relativity with Exchange Symmetry

A Bi-Metric Theory with Exchange Symmetry

We propose an extension of general relativity with two different metrics.We then consider two types of fields, each of which moves according to one of the metrics and its connection.As a consequence of this ansatz, additional source terms for the field equations are generated.We discuss the properties of these additional fields, and consider the examples of the schwarzschild solution, and the friedmann-robertson-walker metric.