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Costa, João L., Alho, A & Natário, J (2013). The problem of a self-gravitating scalar field with positive cosmological constant. Annales Henri Poincaré. 14 (5), 1077-1107
J. L. Costa et al., "The problem of a self-gravitating scalar field with positive cosmological constant", in Annales Henri Poincaré, vol. 14, no. 5, pp. 1077-1107, 2013
@article{costa2013_1715117871954, author = "Costa, João L. and Alho, A and Natário, J", title = "The problem of a self-gravitating scalar field with positive cosmological constant", journal = "Annales Henri Poincaré", year = "2013", volume = "14", number = "5", doi = "10.1007/s00023-012-0215-7", pages = "1077-1107", url = "http://link.springer.com/article/10.1007%2Fs00023-012-0215-7" }
TY - JOUR TI - The problem of a self-gravitating scalar field with positive cosmological constant T2 - Annales Henri Poincaré VL - 14 IS - 5 AU - Costa, João L. AU - Alho, A AU - Natário, J PY - 2013 SP - 1077-1107 SN - 1424-0637 DO - 10.1007/s00023-012-0215-7 UR - http://link.springer.com/article/10.1007%2Fs00023-012-0215-7 AB - We study the Einstein-scalar field system with positive cosmological constant and spherically symmetric characteristic initial data given on a truncated null cone. We prove well-posedness, global existence and exponential decay in (Bondi) time, for small data. From this, it follows that initial data close enough to de Sitter data evolves to a causally geodesically complete spacetime (with boundary), which approaches a region of de Sitter asymptotically at an exponential rate; this is a non-linear stability result for de Sitter within the class under consideration, as well as a realization of the cosmic no-hair conjecture. ER -