On the connection between Lorentzian and Euclidean metrics
نویسنده
چکیده
We investigate connections between pairs of Riemannian metrics whose sum is a (tensor) product of a covector field with itself. As a special result is constructed one-to-one mapping between the classes of Euclidean and Lorentzian metrics. The existence of Lorentzian metrics on a differentiable manifold is discussed. We point the possibility that any physical theory based on Lorentzian metric(s) can be (re)formulated equivalently in terms of Euclidean metric(s).
منابع مشابه
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