{"corpus_id":76657968,"paper_sha":"7f2b42a1ea9f2f752dcf2d00d625291078e7951b","doi":"10.1103/PhysRevD.65.064036","arxiv_id":"gr-qc/0110018","pmid":null,"pmcid":null,"mag_id":2054603191,"dblp_id":null,"acl_id":null,"title":"Dynamics of a self-gravitating lightlike matter shell: A gauge-invariant Lagrangian and Hamiltonian description","year":2001,"publication_date":"2001-10-02","venue":"","journal":{"name":"Physical Review D","pages":"064036","volume":"65"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":10,"citation_count":27,"influential_citation_count":0,"is_open_access":true,"arxiv_categories":["gr-qc"],"arxiv_license":null,"arxiv_journal_ref":"Phys.Rev. D65 (2002) 064036","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://arxiv.org/pdf/gr-qc/0110018","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/7f2b42a1ea9f2f752dcf2d00d625291078e7951b","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"A complete Lagrangian and Hamiltonian description of the theory of self-gravitating lightlike matter shells is given in terms of gauge-independent geometric quantities. For this purpose the notion of an extrinsic curvature for a null-like hypersurface is discussed and the corresponding Gauss-Codazzi equations are proved. These equations imply Bianchi identities for spacetimes with null-like, singular curvature. The energymomentum tensor density of a lightlike matter shell is unambiguously defined in terms of an invariant matter Lagrangian density. The Noether identity and Belinfante-Rosenfeld theorem for such a tensor density are proved. Finally, the Hamiltonian dynamics of the interacting ‘‘gravity1matter’’ system is derived from the total Lagrangian, the latter being an invariant scalar density.","claims":[{"public_id":"cl_cddfa17e5ba9a9ef0f0167db6becb241","status":"active","text":"A gauge-independent Lagrangian and Hamiltonian description of self-gravitating lightlike matter shells is formulated using gauge-independent geometric quantities.","confidence":0.92,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ 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the interacting gravity-matter system is derived from the total Lagrangian as an invariant scalar density.","confidence":0.91,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_f2c652a242658413491f5c6c68d5050d"},{"public_id":"cl_438a15e52f688900d045c601591acd8f","status":"active","text":"The Noether identity and Belinfante-Rosenfeld theorem are proved for the energy-momentum tensor density of lightlike matter shells.","confidence":0.93,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale 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