{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,13]],"date-time":"2025-05-13T16:16:47Z","timestamp":1747153007977,"version":"3.40.5"},"publisher-location":"Cham","reference-count":11,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030656829"},{"type":"electronic","value":"9783030656836"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-65683-6_6","type":"book-chapter","created":{"date-parts":[[2021,3,24]],"date-time":"2021-03-24T21:02:56Z","timestamp":1616619776000},"page":"119-152","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Mass in General Relativity"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0885-9867","authenticated-orcid":false,"given":"Jos\u00e9","family":"Nat\u00e1rio","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,3,25]]},"reference":[{"key":"6_CR2","doi-asserted-by":"publisher","first-page":"997","DOI":"10.1103\/PhysRev.122.997","volume":"122","author":"R Arnowitt","year":"1961","unstructured":"R. Arnowitt, S. Deser, and C. Misner, Coordinate invariance and energy expressions in general relativity, Phys. Rev. 122 (1961), 997\u20131006.","journal-title":"Phys. Rev."},{"key":"6_CR3","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1063\/1.524151","volume":"20","author":"A Ashtekar","year":"1979","unstructured":"A. Ashtekar and A. Magnon-Ashtekar, On conserved quantities in general relativity, J. Math. Phys. 20 (1979), 793\u2013800.","journal-title":"J. Math. Phys."},{"key":"6_CR4","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1002\/cpa.3160390505","volume":"39","author":"R Bartnik","year":"1986","unstructured":"R. Bartnik, The mass of an asymptotically flat manifold, Commun. Pure Appl. Math. 39 (1986), 661\u2013693.","journal-title":"Commun. Pure Appl. Math."},{"key":"6_CR11","first-page":"177","volume":"59","author":"H Bray","year":"2001","unstructured":"H. Bray, Proof of the Riemannian Penrose inequality using the positive mass theorem, J. Diff. Geom. 59 (2001), 177\u2013267.","journal-title":"J. Diff. Geom."},{"key":"6_CR12","unstructured":"_________ , On the positive mass, Penrose, and ZAS inequalities in general dimension, arXiv:1101.2230 (2011)."},{"key":"6_CR24","first-page":"353","volume":"59","author":"G Huisken","year":"2001","unstructured":"G. Huisken and T. Ilmanen, The inverse mean curvature flow and the Riemannian Penrose inequality, J. Diff. Geom. 59 (2001), 353\u2013437.","journal-title":"J. Diff. Geom."},{"key":"6_CR27","unstructured":"M.-K. Lam, The graphs cases of the Riemannian positive mass and Penrose inequalities in all dimensions, arXiv:1010.4256 (2010)."},{"key":"6_CR28","doi-asserted-by":"publisher","first-page":"193001","DOI":"10.1088\/0264-9381\/26\/19\/193001","volume":"26","author":"M Mars","year":"2009","unstructured":"M. Mars, Present status of the Penrose inequality, Class. Quant. Grav. 26 (2009), 193001.","journal-title":"Class. Quant. Grav."},{"key":"6_CR40","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1007\/BF01942062","volume":"79","author":"R Schoen","year":"1981","unstructured":"R. Schoen and S.-T. Yau, Proof of the positive mass theorem ii, Commun. Math. Phys. 79 (1981), 231\u2013260.","journal-title":"Commun. Math. Phys."},{"key":"6_CR41","unstructured":"D. Soper, Classical Field Theory, Wiley, 1976."},{"key":"6_CR43","doi-asserted-by":"crossref","unstructured":"R. Wald, General relativity, University of Chicago Press, 1984.","DOI":"10.7208\/chicago\/9780226870373.001.0001"}],"container-title":["An Introduction to Mathematical Relativity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-65683-6_6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,24]],"date-time":"2021-03-24T21:34:39Z","timestamp":1616621679000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-65683-6_6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030656829","9783030656836"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-65683-6_6","relation":{},"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"25 March 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}