Field equations and cosmology for a class of nonlocal metric models of MOND
We consider a class of nonlocal, pure-metric modified gravity models which were developed to reproduce the Tully-Fisher relation without dark matter and without changing the amount of weak lensing predicted by general relativity. Previous work gave only the weak field limiting form of the field equa...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2014-05 |
|---|---|
| Hauptverfasser: | , , |
| 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 | Deffayet, Cedric Esposito-Farese, Gilles Woodard, Richard P |
| description | We consider a class of nonlocal, pure-metric modified gravity models which were developed to reproduce the Tully-Fisher relation without dark matter and without changing the amount of weak lensing predicted by general relativity. Previous work gave only the weak field limiting form of the field equations specialized to a static and spherically symmetric geometry. Here we derive the full field equations and specialize them to a homogeneous, isotropic and spatially flat geometry. We also discuss the problem of fitting the free function to reproduce the expansion history. Results are derived for models in which the MOND acceleration a_0 ~ 1.2 x 10^{-10} m/s^{2} is a fundamental constant and for the more phenomenologically interesting case in which the MOND acceleration changes with the cosmological expansion rate. |
| doi_str_mv | 10.48550/arxiv.1405.0393 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1405_0393</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2083106736</sourcerecordid><originalsourceid>FETCH-LOGICAL-a516-3c0a8807f74c58586b44a6bc77ef3f52c0596c3644f0542f68d7211cbc0faf333</originalsourceid><addsrcrecordid>eNotj0tPAjEUhRsTEwmyd2WauB687e2LpUFRI8qG_aR0WjOkM4UWjPx7ebg6i_Pl5HyE3DEYCyMlPNr82_6MmQA5BpzgFRlwRFYZwfkNGZWyBgCuNJcSB-Rj1vrYUL_d212b-kJt31CXSpdi-j7QkDK11EVbCk2B9qmPydlIO7_LraNdanw8N5-Lr-dbch1sLH70n0OynL0sp2_VfPH6Pn2aV1YyVaEDawzooIWTRhq1EsKqldPaBwySO5AT5VAJEUAKHpRpNGfMrRwEGxBxSO4vs2fRepPbzuZDfRKuT8JH4OECbHLa7n3Z1eu0z_3xUs3BIAOlUeEf_21XJQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2083106736</pqid></control><display><type>article</type><title>Field equations and cosmology for a class of nonlocal metric models of MOND</title><source>arXiv.org</source><source>Open Access Journals</source><creator>Deffayet, Cedric ; Esposito-Farese, Gilles ; Woodard, Richard P</creator><creatorcontrib>Deffayet, Cedric ; Esposito-Farese, Gilles ; Woodard, Richard P</creatorcontrib><description>We consider a class of nonlocal, pure-metric modified gravity models which were developed to reproduce the Tully-Fisher relation without dark matter and without changing the amount of weak lensing predicted by general relativity. Previous work gave only the weak field limiting form of the field equations specialized to a static and spherically symmetric geometry. Here we derive the full field equations and specialize them to a homogeneous, isotropic and spatially flat geometry. We also discuss the problem of fitting the free function to reproduce the expansion history. Results are derived for models in which the MOND acceleration a_0 ~ 1.2 x 10^{-10} m/s^{2} is a fundamental constant and for the more phenomenologically interesting case in which the MOND acceleration changes with the cosmological expansion rate.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1405.0393</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Acceleration ; Astronomical models ; Cosmology ; Dark matter ; Physics - Cosmology and Nongalactic Astrophysics ; Physics - General Relativity and Quantum Cosmology ; Relativity ; Tully-Fisher relation</subject><ispartof>arXiv.org, 2014-05</ispartof><rights>2014. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27924</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1405.0393$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1103/PhysRevD.90.064038$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Deffayet, Cedric</creatorcontrib><creatorcontrib>Esposito-Farese, Gilles</creatorcontrib><creatorcontrib>Woodard, Richard P</creatorcontrib><title>Field equations and cosmology for a class of nonlocal metric models of MOND</title><title>arXiv.org</title><description>We consider a class of nonlocal, pure-metric modified gravity models which were developed to reproduce the Tully-Fisher relation without dark matter and without changing the amount of weak lensing predicted by general relativity. Previous work gave only the weak field limiting form of the field equations specialized to a static and spherically symmetric geometry. Here we derive the full field equations and specialize them to a homogeneous, isotropic and spatially flat geometry. We also discuss the problem of fitting the free function to reproduce the expansion history. Results are derived for models in which the MOND acceleration a_0 ~ 1.2 x 10^{-10} m/s^{2} is a fundamental constant and for the more phenomenologically interesting case in which the MOND acceleration changes with the cosmological expansion rate.</description><subject>Acceleration</subject><subject>Astronomical models</subject><subject>Cosmology</subject><subject>Dark matter</subject><subject>Physics - Cosmology and Nongalactic Astrophysics</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Relativity</subject><subject>Tully-Fisher relation</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj0tPAjEUhRsTEwmyd2WauB687e2LpUFRI8qG_aR0WjOkM4UWjPx7ebg6i_Pl5HyE3DEYCyMlPNr82_6MmQA5BpzgFRlwRFYZwfkNGZWyBgCuNJcSB-Rj1vrYUL_d212b-kJt31CXSpdi-j7QkDK11EVbCk2B9qmPydlIO7_LraNdanw8N5-Lr-dbch1sLH70n0OynL0sp2_VfPH6Pn2aV1YyVaEDawzooIWTRhq1EsKqldPaBwySO5AT5VAJEUAKHpRpNGfMrRwEGxBxSO4vs2fRepPbzuZDfRKuT8JH4OECbHLa7n3Z1eu0z_3xUs3BIAOlUeEf_21XJQ</recordid><startdate>20140502</startdate><enddate>20140502</enddate><creator>Deffayet, Cedric</creator><creator>Esposito-Farese, Gilles</creator><creator>Woodard, Richard P</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><scope>GOX</scope></search><sort><creationdate>20140502</creationdate><title>Field equations and cosmology for a class of nonlocal metric models of MOND</title><author>Deffayet, Cedric ; Esposito-Farese, Gilles ; Woodard, Richard P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a516-3c0a8807f74c58586b44a6bc77ef3f52c0596c3644f0542f68d7211cbc0faf333</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Acceleration</topic><topic>Astronomical models</topic><topic>Cosmology</topic><topic>Dark matter</topic><topic>Physics - Cosmology and Nongalactic Astrophysics</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Relativity</topic><topic>Tully-Fisher relation</topic><toplevel>online_resources</toplevel><creatorcontrib>Deffayet, Cedric</creatorcontrib><creatorcontrib>Esposito-Farese, Gilles</creatorcontrib><creatorcontrib>Woodard, Richard P</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</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><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Deffayet, Cedric</au><au>Esposito-Farese, Gilles</au><au>Woodard, Richard P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Field equations and cosmology for a class of nonlocal metric models of MOND</atitle><jtitle>arXiv.org</jtitle><date>2014-05-02</date><risdate>2014</risdate><eissn>2331-8422</eissn><abstract>We consider a class of nonlocal, pure-metric modified gravity models which were developed to reproduce the Tully-Fisher relation without dark matter and without changing the amount of weak lensing predicted by general relativity. Previous work gave only the weak field limiting form of the field equations specialized to a static and spherically symmetric geometry. Here we derive the full field equations and specialize them to a homogeneous, isotropic and spatially flat geometry. We also discuss the problem of fitting the free function to reproduce the expansion history. Results are derived for models in which the MOND acceleration a_0 ~ 1.2 x 10^{-10} m/s^{2} is a fundamental constant and for the more phenomenologically interesting case in which the MOND acceleration changes with the cosmological expansion rate.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1405.0393</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2014-05 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_1405_0393 |
| source | arXiv.org; Open Access Journals |
| subjects | Acceleration Astronomical models Cosmology Dark matter Physics - Cosmology and Nongalactic Astrophysics Physics - General Relativity and Quantum Cosmology Relativity Tully-Fisher relation |
| title | Field equations and cosmology for a class of nonlocal metric models of MOND |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T14%3A56%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Field%20equations%20and%20cosmology%20for%20a%20class%20of%20nonlocal%20metric%20models%20of%20MOND&rft.jtitle=arXiv.org&rft.au=Deffayet,%20Cedric&rft.date=2014-05-02&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1405.0393&rft_dat=%3Cproquest_arxiv%3E2083106736%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2083106736&rft_id=info:pmid/&rfr_iscdi=true |