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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| Language: | English |
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MDPI AG
2025-07-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/11/7/232 |
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| _version_ | 1849251889809457152 |
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| author | Jaume de Haro |
| author_facet | Jaume de Haro |
| author_sort | Jaume de Haro |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-dcf23b421c9346bb997e8c33fdffccc0 |
| institution | Kabale University |
| issn | 2218-1997 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-dcf23b421c9346bb997e8c33fdffccc02025-08-20T03:56:47ZengMDPI AGUniverse2218-19972025-07-0111723210.3390/universe11070232On the Metric Lorentz Invariant Newtonian CosmologyJaume de Haro0Departament de Matemàtiques, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, SpainWe 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.https://www.mdpi.com/2218-1997/11/7/232Newtonian mechanicsLorentz transformationEquivalence Principle |
| spellingShingle | Jaume de Haro On the Metric Lorentz Invariant Newtonian Cosmology Universe Newtonian mechanics Lorentz transformation Equivalence Principle |
| title | 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_short | On the Metric Lorentz Invariant Newtonian Cosmology |
| title_sort | on the metric lorentz invariant newtonian cosmology |
| topic | Newtonian mechanics Lorentz transformation Equivalence Principle |
| url | https://www.mdpi.com/2218-1997/11/7/232 |
| work_keys_str_mv | AT jaumedeharo onthemetriclorentzinvariantnewtoniancosmology |