Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry

The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event h...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2007-09
1. Verfasser: Kronthaler, Johann
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Kronthaler, Johann
description The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event horizon.
format Article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2092255177</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2092255177</sourcerecordid><originalsourceid>FETCH-proquest_journals_20922551773</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mRwcUlNTqxUCEosSS1WSMsvUgguyEgtykxOzFEIBhKJRQrhiWVAqcw8hZKMVKBYRnliUVVxckZmToqCe2p-bmpJUSUPA2taYk5xKi-U5mZQdnMNcfbQLSjKLyxNLS6Jz8ovLcoDSsUbGVgaAW02NDc3Jk4VAPL2Ohk</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2092255177</pqid></control><display><type>article</type><title>Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry</title><source>Free E- Journals</source><creator>Kronthaler, Johann</creator><creatorcontrib>Kronthaler, Johann</creatorcontrib><description>The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event horizon.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cauchy problems</subject><ispartof>arXiv.org, 2007-09</ispartof><rights>Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the associated terms available at http://arxiv.org/abs/0709.3703.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>780,784</link.rule.ids></links><search><creatorcontrib>Kronthaler, Johann</creatorcontrib><title>Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry</title><title>arXiv.org</title><description>The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event horizon.</description><subject>Cauchy problems</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mRwcUlNTqxUCEosSS1WSMsvUgguyEgtykxOzFEIBhKJRQrhiWVAqcw8hZKMVKBYRnliUVVxckZmToqCe2p-bmpJUSUPA2taYk5xKi-U5mZQdnMNcfbQLSjKLyxNLS6Jz8ovLcoDSsUbGVgaAW02NDc3Jk4VAPL2Ohk</recordid><startdate>20070924</startdate><enddate>20070924</enddate><creator>Kronthaler, Johann</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20070924</creationdate><title>Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry</title><author>Kronthaler, Johann</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20922551773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Cauchy problems</topic><toplevel>online_resources</toplevel><creatorcontrib>Kronthaler, Johann</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Access via ProQuest (Open Access)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kronthaler, Johann</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry</atitle><jtitle>arXiv.org</jtitle><date>2007-09-24</date><risdate>2007</risdate><eissn>2331-8422</eissn><abstract>The Cauchy problem is considered for the scalar wave equation in the Schwarzschild geometry. Using an integral spectral representation we derive the exact decay rate for solutions of the Cauchy problem with spherical symmetric initial data, which is smooth and compactly supported outside the event horizon.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2007-09
issn 2331-8422
language eng
recordid cdi_proquest_journals_2092255177
source Free E- Journals
subjects Cauchy problems
title Decay Rates for Spherical Scalar Waves in the Schwarzschild Geometry
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T12%3A48%3A54IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Decay%20Rates%20for%20Spherical%20Scalar%20Waves%20in%20the%20Schwarzschild%20Geometry&rft.jtitle=arXiv.org&rft.au=Kronthaler,%20Johann&rft.date=2007-09-24&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2092255177%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2092255177&rft_id=info:pmid/&rfr_iscdi=true