Choquet-Bruhat, Yvonne; Chruściel, Piotr T.; Martín-García, José Maria An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data. (English) Zbl 1344.83002 Uch. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 153, No. 3, 115-138 (2011). MSC: 83-02 83C05 35Q75 83C10 83C15 53Z05 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., Uch. Zap. Kazan. Univ., Ser. Fiz.-Mat. Nauki 153, No. 3, 115--138 (2011; Zbl 1344.83002) Full Text: arXiv MNR
Choquet-Bruhat, Y.; Chruściel, Piotr T.; Martín-García, José M. An existence theorem for the Cauchy problem on a characteristic cone for the Einstein equations. (English) Zbl 1235.83011 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems IV. Part 2. General relativity, geometry, and PDE. Proceedings of the 4th conference on complex analysis and dynamical systems, Nahariya, Israel, May 18–22, 2009. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-5197-5/pbk). Contemporary Mathematics 554. Israel Mathematical Conference Proceedings, 73-81 (2011). Reviewer: Vladimir Dzhunushaliev (Astana) MSC: 83C05 35L15 83C40 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., Contemp. Math. 554, 73--81 (2011; Zbl 1235.83011) Full Text: arXiv
Choquet-Bruhat, Yvonne; Martín-García, José M. A geometric energy estimate for data on a characteristic cone. (English) Zbl 1243.83016 Plaue, Matthias (ed.) et al., Advances in Lorentzian geometry. Proceedings of the Lorentzian geometry conference in Berlin, Germany, November 18–21, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5352-8/pbk). AMS/IP Studies in Advanced Mathematics 49, 17-25 (2011). Reviewer: Deborah Konkowski (Annapolis) MSC: 83C05 53C21 83C40 35L05 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} and \textit{J. M. Martín-García}, AMS/IP Stud. Adv. Math. 49, 17--25 (2011; Zbl 1243.83016)
Choquet-Bruhat, Yvonne; Chruściel, Piotr T.; Martín-García, José M. The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions. (English) Zbl 1215.83016 Ann. Henri Poincaré 12, No. 3, 419-482 (2011). MSC: 83C05 83C15 83C40 53Z05 35L15 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., Ann. Henri Poincaré 12, No. 3, 419--482 (2011; Zbl 1215.83016) Full Text: DOI arXiv
Choquet-Bruhat, Y.; Chruściel, P. T.; Martín-García, J. M. Einstein constraints on a characteristic cone. (English) Zbl 1243.83015 Greco, A. M. (ed.) et al., Proceedings “WASCOM 2009”. 15th conference on waves and stability in continuous media, Palermo, Italy, June 28–July 1, 2009. Hackensack, NJ: World Scientific (ISBN 978-981-4317-41-2/hbk; 978-981-4317-42-9/ebook). 93-102 (2010). MSC: 83C05 35Q76 53Z05 83E15 35L05 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., in: Proceedings ``WASCOM 2009''. 15th conference on waves and stability in continuous media, Palermo, Italy, June 28--July 1, 2009. Hackensack, NJ: World Scientific. 93--102 (2010; Zbl 1243.83015) Full Text: arXiv Link
Choquet-Bruhat, Yvonne; Martín-García, José M. Energy estimate for initial data on a characteristic cone. arXiv:1012.0458 Preprint, arXiv:1012.0458 [gr-qc] (2010). BibTeX Cite \textit{Y. Choquet-Bruhat} and \textit{J. M. Martín-García}, ``Energy estimate for initial data on a characteristic cone'', Preprint, arXiv:1012.0458 [gr-qc] (2010) Full Text: arXiv OA License
Choquet-Bruhat, Yvonne; Chruściel, Piotr T.; Martín-García, José M. The light-cone theorem. (English) Zbl 1171.83001 Classical Quantum Gravity 26, No. 13, Article ID 135011, 22 p. (2009). MSC: 83C10 83E05 53Z05 83C75 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., Classical Quantum Gravity 26, No. 13, Article ID 135011, 22 p. (2009; Zbl 1171.83001) Full Text: DOI arXiv
Choquet-Bruhat, Yvonne; Chruściel, Piotr T.; Martín-García, José M. A property of light-cones in Einstein’s gravity. (English. Abridged French version) Zbl 1170.83005 C. R., Math., Acad. Sci. Paris 347, No. 15-16, 971-977 (2009). MSC: 83C10 83E05 53Z05 PDFBibTeX XMLCite \textit{Y. Choquet-Bruhat} et al., C. R., Math., Acad. Sci. Paris 347, No. 15--16, 971--977 (2009; Zbl 1170.83005) Full Text: DOI