Spacetime is not just space and time |
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Authors: | Marek A Abramowicz |
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Institution: | aPhysics Department, Göteborg University, Fysikgrand 3, 412-96 Göteborg, Sweden;bCopernicus Astronomical Center, Bartycka 18, 00-716 Warszawa, Poland |
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Abstract: | Our physical intuition usually separates space from time, ignoring the spacetime character of the physical reality. In strongly curved spacetimes this may lead to confusion and paradoxes. I present here two examples: (1) in the non-static cosmological spacetimes with flat space sections, the cosmological expansion of space is a true physical effect. Contrary to what the intuition imagines, it cannot be explained as a motion of matter in a non-expanding flat space. (2) Contrary to intuition, for static spacetimes the mathematically simplest 3+1 split is not given by the direct projection as in the standard ADM scheme. The simplest split is defined by a counter intuitive “optical geometry” that redshifts both space and time by the same conformal factor. |
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Keywords: | Geometry General relativity Black holes |
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