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arxiv: gr-qc/9407024 · v1 · submitted 1994-07-20 · 🌀 gr-qc

Two-Dimensional Black Holes and Planar General Relativity

classification 🌀 gr-qc
keywords two-dimensionalblackgeneralrelativitytheoryactionholeholes
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The Einstein-Hilbert action with a cosmological term is used to derive a new action in 1+1 spacetime dimensions. It is shown that the two-dimensional theory is equivalent to planar symmetry in General Relativity. The two-dimensional theory admits black holes and free dilatons, and has a structure similar to two-dimensional string theories. Since by construction these solutions also solve Einstein's equations, such a theory can bring two-dimensional results into the four-dimensional real world. In particular the two-dimensional black hole is also a black hole in General Relativity.

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