A Bi-Metric Theory with Exchange Symmetry

Details A Bi-Metric Theory with Exchange Symmetry A Bi-Metric Theory with Exchange Symmetry

2008-07-17

arxiv.org/abs/0807.2838v1

Phys.Rev.D78:044015,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures

Scientific paper

10.1103/PhysRevD.78.044015

We propose an extension of General Relativity with two different metrics. To each metric we define a Levi-Cevita connection and a curvature tensor. We then consider two types of fields, each of which moves according to one of the metrics and its connection. To obtain the field equations for the second metric we impose an exchange symmetry on the action. As a consequence of this ansatz, additional source terms for Einstein's 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.

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