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We derive the higher dimensional generalization of Penrose-Tod equation describing apparent horizons in Robinson-Trautman spacetimes.
I. Robinson and A. Trautman, Phys. Rev. Lett. 4
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I. Robinson and A. Trautman, Proc. Roy. Soc. Lond. A265
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S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time , CUPress, Cambridge 1975
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K. P. Tod, Class. Quantum Grav. 6
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A. Ashtekar, C. Beetle and S. Fairhurst, Class.Quant.Grav. 17 253-298 (2000) A. Ashtekar, B. Krishnan, Phys. Rev. D 68
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J. Podolský and M. Ortaggio, Class.Quant.Grav. 23
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