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Costa, João L., Natário, J & Pedro F. C. Oliveira (2019). Cosmic no-hair in spherically symmetric black hole spacetimes. Annales Henri Poincaré. 20 (9), 3059-3090
J. L. Costa et al., "Cosmic no-hair in spherically symmetric black hole spacetimes", in Annales Henri Poincaré, vol. 20, no. 9, pp. 3059-3090, 2019
@article{costa2019_1714583700960, author = "Costa, João L. and Natário, J and Pedro F. C. Oliveira", title = "Cosmic no-hair in spherically symmetric black hole spacetimes", journal = "Annales Henri Poincaré", year = "2019", volume = "20", number = "9", doi = "10.1007/s00023-019-00825-z", pages = "3059-3090", url = "https://link.springer.com/article/10.1007%2Fs00023-019-00825-z" }
TY - JOUR TI - Cosmic no-hair in spherically symmetric black hole spacetimes T2 - Annales Henri Poincaré VL - 20 IS - 9 AU - Costa, João L. AU - Natário, J AU - Pedro F. C. Oliveira PY - 2019 SP - 3059-3090 SN - 1424-0637 DO - 10.1007/s00023-019-00825-z UR - https://link.springer.com/article/10.1007%2Fs00023-019-00825-z AB - We analyze in detail the geometry and dynamics of the cosmological region arising in spherically symmetric black hole solutions of the Einstein–Maxwell-scalar field system with a positive cosmological constant. More precisely, we solve, for such a system, a characteristic initial value problem with data emulating a dynamic cosmological horizon. Our assumptions are fairly weak, in that we only assume that the data approach that of a subextremal Reissner–Nordström-de Sitter black hole, without imposing any rate of decay. We then show that the radius (of symmetry) blows up along any null ray parallel to the cosmological horizon (“near” i+), in such a way that r= + ∞ is, in an appropriate sense, a spacelike hypersurface. We also prove a version of the cosmic no-hair conjecture by showing that in the past of any causal curve reaching infinity both the metric and the Riemann curvature tensor asymptote to those of a de Sitter spacetime. Finally, we discuss conditions under which all the previous results can be globalized. ER -