On the metric Lorentz invariant Newtonian cosmology

We review a metric theory of gravitation that combines Newtonian gravity with Lorentz invariance. Beginning with a conformastatic metric justified by the Weak Equivalence Principle. We describe, within the Newtonian approximation, the spacetime geometry generated by a static distribution of dust mat...

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Detalles Bibliográficos
Autor: Haro Cases, Jaume|||0000-0002-5705-2405
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/444509
Acceso en línea:https://hdl.handle.net/2117/444509
https://dx.doi.org/10.3390/universe11070232
Access Level:acceso abierto
Palabra clave:Newtonian mechanics
Lorentz transformation
Equivalence Principle
Àrees temàtiques de la UPC::Física::Astronomia i astrofísica::Cosmologia i cosmogonia
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spelling On the metric Lorentz invariant Newtonian cosmologyHaro Cases, Jaume|||0000-0002-5705-2405Newtonian mechanicsLorentz transformationEquivalence PrincipleÀrees temàtiques de la UPC::Física::Astronomia i astrofísica::Cosmologia i cosmogoniaWe review a metric theory of gravitation that combines Newtonian gravity with Lorentz invariance. Beginning with a conformastatic metric justified by the Weak Equivalence Principle. We describe, within the Newtonian approximation, the spacetime geometry generated by a static distribution of dust matter. To extend this description to moving sources, we apply a Lorentz transformation to the static metric. This procedure yields, again within the Newtonian approximation, the metric associated with moving bodies. In doing so, we construct a gravitational framework that captures key relativistic features—such as covariance under Lorentz transformations—while remaining rooted in Newtonian dynamics. This approach offers an alternative route to describing weak-field gravitational interactions, without relying directly on Einstein’s field equations.Peer Reviewed17 - Aliança per a Aconseguir els ObjectiusMultidisciplinary Digital Publishing Institute (MDPI)20252025-07-0120252025-10-24journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/444509https://dx.doi.org/10.3390/universe11070232reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-123903NB-I00 ECUACIONES EN DERIVADAS PARCIALES: PROBLEMAS DE REACCION-DIFUSION, INTEGRO-DIFERENCIALES, Y DE LA FISICA MATEMATICAopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4445092026-05-27T15:37:01Z
dc.title.none.fl_str_mv On the metric Lorentz invariant Newtonian cosmology
title On the metric Lorentz invariant Newtonian cosmology
spellingShingle On the metric Lorentz invariant Newtonian cosmology
Haro Cases, Jaume|||0000-0002-5705-2405
Newtonian mechanics
Lorentz transformation
Equivalence Principle
Àrees temàtiques de la UPC::Física::Astronomia i astrofísica::Cosmologia i cosmogonia
title_short On the metric Lorentz invariant Newtonian cosmology
title_full On the metric Lorentz invariant Newtonian cosmology
title_fullStr On the metric Lorentz invariant Newtonian cosmology
title_full_unstemmed On the metric Lorentz invariant Newtonian cosmology
title_sort On the metric Lorentz invariant Newtonian cosmology
dc.creator.none.fl_str_mv Haro Cases, Jaume|||0000-0002-5705-2405
author Haro Cases, Jaume|||0000-0002-5705-2405
author_facet Haro Cases, Jaume|||0000-0002-5705-2405
author_role author
dc.subject.none.fl_str_mv Newtonian mechanics
Lorentz transformation
Equivalence Principle
Àrees temàtiques de la UPC::Física::Astronomia i astrofísica::Cosmologia i cosmogonia
topic Newtonian mechanics
Lorentz transformation
Equivalence Principle
Àrees temàtiques de la UPC::Física::Astronomia i astrofísica::Cosmologia i cosmogonia
description We review a metric theory of gravitation that combines Newtonian gravity with Lorentz invariance. Beginning with a conformastatic metric justified by the Weak Equivalence Principle. We describe, within the Newtonian approximation, the spacetime geometry generated by a static distribution of dust matter. To extend this description to moving sources, we apply a Lorentz transformation to the static metric. This procedure yields, again within the Newtonian approximation, the metric associated with moving bodies. In doing so, we construct a gravitational framework that captures key relativistic features—such as covariance under Lorentz transformations—while remaining rooted in Newtonian dynamics. This approach offers an alternative route to describing weak-field gravitational interactions, without relying directly on Einstein’s field equations.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-07-01
2025
2025-10-24
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/444509
https://dx.doi.org/10.3390/universe11070232
url https://hdl.handle.net/2117/444509
https://dx.doi.org/10.3390/universe11070232
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-123903NB-I00 ECUACIONES EN DERIVADAS PARCIALES: PROBLEMAS DE REACCION-DIFUSION, INTEGRO-DIFERENCIALES, Y DE LA FISICA MATEMATICA
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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