Browsing School of Mathematical Sciences by Author "Valiente Kroon, JA"
Now showing items 1-9 of 9
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A comparison of Ashtekar's and Friedrich's formalisms of spatial infinity
Mohamed, MMA; Valiente Kroon, JA (IOP Publishing, 2021-07-07)Penrose's idea of asymptotic flatness provides a framework for understanding the asymptotic structure of gravitational fields of isolated systems at null infinity. However, the studies of the asymptotic behaviour of fields ... -
A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
Minucci, M; Valiente Kroon, JA (IOP Publishing, 2021-06-17)It is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the non-linear stability of Einstein spaces with negative scalar curvature. ... -
The conformal Einstein field equations with massless Vlasov matter
Joudioux, J; Thaller, M; Valiente Kroon, JA (Annales de l'Institut Fourier, 2021-06-07)We prove the stability of de Sitter space-time as a solution to the Einstein–Vlasov system with massless particles. The semi-global stability of Minkowski space-time is also addressed. The proof relies on conformal techniques, ... -
Conformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant
Garcia-Parrado Gomez-Lobo, A; Gasperin, E; Valiente Kroon, JA (2018-02-22) -
Improved existence for the characteristic initial value problem with the conformal Einstein field equations
Hilditch, D; Valiente Kroon, JA; Zhao, P (2020-09-05) -
On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime
Minucci, M; Valiente Kroon, JA (2023) -
Polyhomogeneous expansions from time symmetric initial data
Gasperin, E; Valiente Kroon, JA (IOP Publishing, 2017-09)We make use of Friedrich's construction of the cylinder at spatial infinity to relate the logarithmic terms appearing in asymptotic expansions of components of the Weyl tensor to the freely specifiable parts of time symmetric ... -
Revisiting the characteristic initial value problem for the vacuum Einstein field equations
Hilditch, D; Valiente Kroon, JA; Zhao, P (2020-10-06) -
Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime
Gasperin, E; Valiente Kroon, JA (2022)