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We provide a novel model of gravity by using adjoint frame fields in fourdimensions. It has a natural interpretation as a gravitational theory of acomplex metric field, which describes interactions between two real metrics.The classical solutions establish three appealing features. The sphericalsymmetric black hole solution has an additional hair, which includes theSchwarzschild solution as a special case. The de Sitter solution is realizedwithout introducing a cosmological constant. The constant flat backgroundbreaks the Lorentz invariance spontaneously, although the Lorentz breakingeffect can be localized to the second metric while the first metric stillrespects the Lorentz invariance.

Bimetric Gravity From Adjoint Frame Field In Four Dimensions