Lee, Dan A.; Lesourd, Martin; Unger, Ryan Noncompact fill-ins of Bartnik data. (English) Zbl 1542.53042 J. Geom. Anal. 34, No. 4, Paper No. 102, 27 p. (2024). Reviewer: Alex B. Gaina (Chişinău) MSC: 53C20 53C21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khuri, Marcus; Kopiński, Jarosław Asymptotically hyperbolic Einstein constraint equations with apparent horizon boundary and the Penrose inequality for perturbations of Schwarzschild-AdS. (English) Zbl 1518.83048 Classical Quantum Gravity 40, No. 4, Article ID 045007, 25 p. (2023). MSC: 83C57 83C30 51M10 70H45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Lee, Dan A.; Lesourd, Martin; Unger, Ryan Density and positive mass theorems for initial data sets with boundary. (English) Zbl 1510.83017 Commun. Math. Phys. 395, No. 2, 643-677 (2022). MSC: 83C30 11R45 58J47 14B25 47A10 83E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beyer, F.; Ritchie, J. Asymptotically hyperboloidal initial data sets from a parabolic-hyperbolic formulation of the Einstein vacuum constraints. (English) Zbl 1498.83022 Classical Quantum Gravity 39, No. 14, Article ID 145012, 38 p. (2022). MSC: 83C57 70F05 58J47 70H45 83C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Carlotto, Alessandro The general relativistic constraint equations. (English) Zbl 1514.83005 Living Rev. Relativ. 24, Paper No. 2, 170 p. (2021). MSC: 83C05 70H45 58J47 65E10 53C21 58H15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Jin, Xiaoshang Finite boundary regularity for conformally compact Einstein manifolds of dimension 4. (English) Zbl 1465.32002 J. Geom. Anal. 31, No. 4, 4004-4023 (2021). MSC: 32Q20 53C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Allen, Paul T.; Isenberg, James; Lee, John M.; Stavrov Allen, Iva Asymptotic gluing of shear-free hyperboloidal initial data sets. (English) Zbl 1465.35374 Ann. Henri Poincaré 22, No. 3, 771-819 (2021). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q76 35Q75 53C80 83C05 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hintz, Peter; Vasy, András Stability of Minkowski space and polyhomogeneity of the metric. (English) Zbl 1462.35389 Ann. PDE 6, No. 1, Paper No. 2, 146 p. (2020). MSC: 35Q76 35B35 35C20 83C05 83C35 83C57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friedrich, Helmut Peeling or not peeling – is that the question? (English) Zbl 1409.83043 Classical Quantum Gravity 35, No. 8, Article ID 083001, 18 p. (2018). MSC: 83C35 83C25 83-02 83C05 35Q76 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Paetz, Tim-Torben On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes. (English) Zbl 1404.83007 J. Math. Phys. 59, No. 10, 102501, 100 p. (2018). MSC: 83C05 83C30 83C47 53Z05 83C40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chruściel, Piotr T.; Delay, Erwann Non-singular space-times with a negative cosmological constant. II: Static solutions of the Einstein-Maxwell equations. (English) Zbl 1374.83005 Lett. Math. Phys. 107, No. 8, 1391-1407 (2017). MSC: 83C20 83E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Allen, Paul T.; Allen, Iva Stavrov Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology. (English) Zbl 1375.83008 Ann. Henri Poincaré 18, No. 8, 2789-2814 (2017). MSC: 83C05 83C25 35Q75 53Z05 54F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Holst, Michael; Sarbach, Olivier; Tiglio, Manuel; Vallisneri, Michele The emergence of gravitational wave science: 100 years of development of mathematical theory, detectors, numerical algorithms, and data analysis tools. (English) Zbl 1350.83009 Bull. Am. Math. Soc., New Ser. 53, No. 4, 513-554 (2016). MSC: 83C35 83-02 83-03 85-02 85-03 01A60 01A61 62P35 83F05 83C57 35Q75 53Z05 65T60 68U10 83-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giarrusso, Ester; Porru, Giovanni Second order estimates for boundary blow-up solutions of elliptic equations with an additive gradient term. (English) Zbl 1328.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 129, 160-172 (2015). MSC: 35J93 35J25 35J62 35J67 35B40 35B44 × Cite Format Result Cite Review PDF Full Text: DOI
Paetz, Tim-Torben Conformally covariant systems of wave equations and their equivalence to Einstein’s field equations. (English) Zbl 1325.83006 Ann. Henri Poincaré 16, No. 9, 2059-2129 (2015). MSC: 83C05 35L05 53Z05 83C15 83C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chruściel, Piotr T.; Mazzeo, Rafe Initial data sets with ends of cylindrical type. I: The Lichnerowicz equation. (English) Zbl 1314.83011 Ann. Henri Poincaré 16, No. 5, 1231-1266 (2015). MSC: 83C05 83C25 83C15 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delay, Erwann; Mazzieri, Lorenzo Refined gluing for vacuum Einstein constraint equations. (English) Zbl 1316.53043 Geom. Dedicata 173, 393-415 (2014). Reviewer: Julien Cortier (Zürich) MSC: 53C21 58J60 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Chruściel, Piotr T. The existence theorem for the general relativistic Cauchy problem on the light-cone. (English) Zbl 1297.83004 Forum Math. Sigma 2, Paper No. e10, 50 p. (2014). MSC: 83C05 53Z05 83C15 35L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Anderson, Michael T.; Beem, Christopher; Bobev, Nikolay; Rastelli, Leonardo Holographic uniformization. (English) Zbl 1329.81299 Commun. Math. Phys. 318, No. 2, 429-471 (2013). MSC: 81T30 53C44 83E50 83E30 81T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gicquaud, Romain; Sakovich, Anna A large class of non-constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold. (English) Zbl 1247.83010 Commun. Math. Phys. 310, No. 3, 705-763 (2012). MSC: 83C05 35L15 83C15 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mason, Lionel J.; Nicolas, Jean-Philippe Peeling of Dirac and Maxwell fields on a Schwarzschild background. (English) Zbl 1247.83110 J. Geom. Phys. 62, No. 4, 867-889 (2012). MSC: 83C57 83C05 35L05 83C60 83C25 83C22 83C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bahuaud, Eric; Gicquaud, Romain Conformal compactification of asymptotically locally hyperbolic metrics. (English) Zbl 1259.53038 J. Geom. Anal. 21, No. 4, 1085-1118 (2011). Reviewer: Vyacheslav S. Kalnitsky (St. Peterburg) MSC: 53C21 53C25 58E10 58J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gicquaud, Romain Linearization stability of the Einstein constraint equations on an asymptotically hyperbolic manifold. (English) Zbl 1311.83007 J. Math. Phys. 51, No. 7, 072501, 14 p. (2010). MSC: 83C05 83C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Isenberg, James; Lee, John M.; Allen, Iva Stavrov Asymptotic gluing of asymptotically hyperbolic solutions to the Einstein constraint equations. (English) Zbl 1208.83032 Ann. Henri Poincaré 11, No. 5, 881-927 (2010). MSC: 83C15 83C05 83C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gicquaud, Romain The equation of scalar curvature prescription with contraint equations in general relativity on an asymptotical hyperbolic manifold. (De l’équation de prescription de courbure scalaire aux équations de contrainte en relativité générale sur une variété asymptotiquement hyperbolique.) (French) Zbl 1196.53026 J. Math. Pures Appl. (9) 94, No. 2, 200-227 (2010). MSC: 53C21 35Q75 35J65 35J70 53B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delay, Erwann Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds. (English) Zbl 1179.53051 Proc. Am. Math. Soc. 137, No. 7, 2293-2298 (2009). Reviewer: Jean-Marc Bouclet (Villeneuve d’Ascq) MSC: 53C25 35R01 35J50 58J05 35J70 35J60 35Q75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anedda, Claudia; Buttu, Anna; Porru, Giovanni Second-order estimates for boundary blowup solutions of special elliptic equations. (English) Zbl 1136.35354 Bound. Value Probl. 2006, Article ID 45859, 12 p. (2006). MSC: 35J60 35B45 35C20 35B30 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Friedrich, Helmut Is general relativity ‘essentially understood’? (English) Zbl 1098.83005 Ann. Phys. (8) 15, No. 1-2, 84-108 (2006). Reviewer: Michael Kunzinger (Wien) MSC: 83C05 83C35 83C57 83C75 83C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chruściel, Piotr T.; Isenberg, James; Pollack, Daniel Initial data engineering. (English) Zbl 1080.83002 Commun. Math. Phys. 257, No. 1, 29-42 (2005). MSC: 83C05 58J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chruściel, Piotr T.; Lengard, Olivier Radiation fields. (English) Zbl 1085.35015 Bull. Soc. Math. Fr. 133, No. 1, 1-72 (2005). Reviewer: V. D. Sharma (Mumbai) MSC: 35B05 35L40 58J47 35L67 76L05 × Cite Format Result Cite Review PDF Full Text: DOI
Chruściel, Piotr T.; Delay, Erwann Manifold structures for sets of solutions of the general relativistic constraint equations. (English) Zbl 1073.83011 J. Geom. Phys. 51, No. 4, 442-472 (2004). Reviewer: Serguey M. Pokas (Odessa) MSC: 83C05 58J99 58D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delay, Erwann Essential spectrum of the Lichnerowicz Laplacian on two tensors on asymptotically hyperbolic manifolds. (English) Zbl 1146.58301 J. Geom. Phys. 43, No. 1, 33-44 (2002). MSC: 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Andersson, Lars; Chruściel, Piotr T. On “hyperboloidal” Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri. (English) Zbl 0793.53084 Commun. Math. Phys. 161, No. 3, 533-568 (1994). MSC: 53Z05 35Q75 83C05 × Cite Format Result Cite Review PDF Full Text: DOI