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- Solutions that break the Lorentz invariance...?

I was reading a discussion where some physicists participated* where the topic of Lorentz invariance violations occurring in cosmology is mentioned.

There, they mention that we can imagine a Lorentz-violating solution to the cosmological equations. What do they mean by that? Can anyone specify any example of such solutions (a solution which really breaks the Lorentz symmetry)?

They also said that we don't need a theory which violates the Lorentz invariance to have solutions that are not Lorentz invariant. What do they mean by that? Can you specify any example of such solutions (a solution which really breaks the Lorentz symmetry)?

Thank you

*(https://books.google.com/books?id=W...age&q=inhomogeneities violate lorentz&f=false)

There, they mention that we can imagine a Lorentz-violating solution to the cosmological equations. What do they mean by that? Can anyone specify any example of such solutions (a solution which really breaks the Lorentz symmetry)?

They also said that we don't need a theory which violates the Lorentz invariance to have solutions that are not Lorentz invariant. What do they mean by that? Can you specify any example of such solutions (a solution which really breaks the Lorentz symmetry)?

Thank you

*(https://books.google.com/books?id=W...age&q=inhomogeneities violate lorentz&f=false)