Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions
We study the plane-symmetric collision of two gravitational waves and describe the global spacetime geometry generated by this collision. We formulate the characteristic initial value problem for the Einstein equations, when Goursat data describing the incoming waves are prescribed on two null hyper...
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| Veröffentlicht in: | Classical and quantum gravity 2022-11, Vol.39 (22), p.225010 |
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| container_title | Classical and quantum gravity |
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| creator | Le Floch, Bruno LeFloch, Philippe G Veneziano, Gabriele |
| description | We study the plane-symmetric collision of two gravitational waves and describe the global spacetime geometry generated by this collision. We formulate the characteristic initial value problem for the Einstein equations, when Goursat data describing the incoming waves are prescribed on two null hypersurfaces. We construct a global solution representing a cyclic spacetime based on junction conditions associated with a prescribed singularity scattering map, as we call it. This amounts to a detailed analysis of the Goursat and Fuchsian initial value problems associated with singular hyperbolic equations, when junction conditions at interfaces are prescribed. We introduce a partition into monotonicity diamonds (that is, spacetime domains) and we construct the solution by concatenating domains across interfaces of timelike, null, or spacelike type. |
| doi_str_mv | 10.1088/1361-6382/ac96c1 |
| format | Article |
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Plane-symmetric gravitational collisions</title><title>Classical and quantum gravity</title><addtitle>CQG</addtitle><addtitle>Class. Quantum Grav</addtitle><description>We study the plane-symmetric collision of two gravitational waves and describe the global spacetime geometry generated by this collision. We formulate the characteristic initial value problem for the Einstein equations, when Goursat data describing the incoming waves are prescribed on two null hypersurfaces. We construct a global solution representing a cyclic spacetime based on junction conditions associated with a prescribed singularity scattering map, as we call it. This amounts to a detailed analysis of the Goursat and Fuchsian initial value problems associated with singular hyperbolic equations, when junction conditions at interfaces are prescribed. We introduce a partition into monotonicity diamonds (that is, spacetime domains) and we construct the solution by concatenating domains across interfaces of timelike, null, or spacelike type.</description><subject>collisions</subject><subject>cyclic spacetime</subject><subject>diamonds</subject><subject>General Relativity and Quantum Cosmology</subject><subject>gravitational singularity</subject><subject>Physics</subject><issn>0264-9381</issn><issn>1361-6382</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kMFLwzAUxoMoOKd3jz0qWJeXtFl6HEOdMNCDnsMzS7uMdq1JNuh_b0plJ4UH7_Hx_T54HyG3QB-BSjkDLiAVXLIZ6kJoOCOTk3ROJpSJLC24hEty5f2OUgAJbELUste11YnvUJtgG-OTsHXtodom3u6rQ43Ohj7xGkMwLipJg51_TN5r3JvU901jgot85fBoAwbb7rFOdFvX1sfbX5OLEmtvbn73lHw-P30sV-n67eV1uVinmnMRUqkZ0yXLEEHkrDAyF2UuOMocOCBjWam_NnxjUMtCFgI0x8xwYGLOeTYv5nxK7sfcLdaqc7ZB16sWrVot1mrQKGfzLIYdIXrp6NWu9d6Z8gQAVUOZamhODc2pscyI3I2IbTu1aw8ufumV_q4ULxRjcXIa4W5TRuvDH9Z_k38AKf2D7w</recordid><startdate>20221117</startdate><enddate>20221117</enddate><creator>Le Floch, Bruno</creator><creator>LeFloch, Philippe G</creator><creator>Veneziano, Gabriele</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-9546-0784</orcidid><orcidid>https://orcid.org/0000-0003-3114-4894</orcidid><orcidid>https://orcid.org/0000-0002-3965-9705</orcidid></search><sort><creationdate>20221117</creationdate><title>Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions</title><author>Le Floch, Bruno ; LeFloch, Philippe G ; Veneziano, Gabriele</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c336t-8c22cf24aa16529e856f563a85131a224fcbd3deac898961c3a4e312673347973</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>collisions</topic><topic>cyclic spacetime</topic><topic>diamonds</topic><topic>General Relativity and Quantum Cosmology</topic><topic>gravitational singularity</topic><topic>Physics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Le Floch, Bruno</creatorcontrib><creatorcontrib>LeFloch, Philippe G</creatorcontrib><creatorcontrib>Veneziano, Gabriele</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Classical and quantum gravity</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Le Floch, Bruno</au><au>LeFloch, Philippe G</au><au>Veneziano, Gabriele</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cyclic spacetimes through singularity scattering maps. 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This amounts to a detailed analysis of the Goursat and Fuchsian initial value problems associated with singular hyperbolic equations, when junction conditions at interfaces are prescribed. We introduce a partition into monotonicity diamonds (that is, spacetime domains) and we construct the solution by concatenating domains across interfaces of timelike, null, or spacelike type.</abstract><pub>IOP Publishing</pub><doi>10.1088/1361-6382/ac96c1</doi><tpages>39</tpages><orcidid>https://orcid.org/0000-0002-9546-0784</orcidid><orcidid>https://orcid.org/0000-0003-3114-4894</orcidid><orcidid>https://orcid.org/0000-0002-3965-9705</orcidid></addata></record> |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | collisions cyclic spacetime diamonds General Relativity and Quantum Cosmology gravitational singularity Physics |
| title | Cyclic spacetimes through singularity scattering maps. Plane-symmetric gravitational collisions |
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