Geodesic
Correct observer's event horizon in de Sitter space-time
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 101-107.

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A correct description of the past and the future event horizons for timelike geodesics in de Sitter space-time of the first kind is given.
Keywords: de Sitter space-time of the first kind, event horizon, globally hyperbolic space-time, Lorentz manifold, world line. 
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V. N. Berestovskii; I. A. Zubareva. Correct observer's event horizon in de Sitter space-time. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 101-107. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a39/

[1] V. N. Berestovskii, I. A. Zubareva, “Functions with (non-)time-like gradient on a space-time”, Siber. Advances in Mathematics (to appear)

[2] V. N. Berestovskii, “About one V. A. Toponogov's problem and its generalizations”, Relativity, Gravity and Geometry. Contributed papers, Plenary talk on International Conference “Petrov 2010 Anniversary Symposium on General Relativity and Gravitation 2010” (1–6 November, Kazan), 62–65 (in Russian)

[3] J. Beem, P. Ehrlich, Global Lorentzian geometry, Marcel Dekker Inc., New York–Basel, 1981 | MR

[4] B. A. Rosenfeld, Non-Euclidean geometry, GITTL, M., 1953 (in Russian)

[5] S. W. Hawking, G. F. R. Ellis, The large scale structure of space-time, Cambridge University Press, Cambridge, 1973 | MR

[6] Stephen Hawking, The Universe in a Nutshell, Bantam Books, New York–Toronto–London–Sydney–Auckland, 2001