On the perturbed Friedmann equations in Newtonian Gauge
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866915083336024064 |
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| author | de Haro, Jaume Elizalde, Emilio Pan, Supriya |
| author_facet | de Haro, Jaume Elizalde, Emilio Pan, Supriya |
| contents | Based on the Newtonian mechanics, in this article, we present a heuristic derivation of the Friedmann equations, providing an intuitive foundation for these fundamental relations in cosmology. Additionally, using the first law of thermodynamics and Euler's equation, we derive a set of equations that, at linear order, coincide with those obtained from the conservation of the stress-energy tensor in General Relativity. This approach not only highlights the consistency between Newtonian and relativistic frameworks in certain limits but also serves as a pedagogical bridge, offering insights into the physical principles underlying the dynamics of the universe. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15139 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the perturbed Friedmann equations in Newtonian Gauge de Haro, Jaume Elizalde, Emilio Pan, Supriya General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Mathematical Physics Based on the Newtonian mechanics, in this article, we present a heuristic derivation of the Friedmann equations, providing an intuitive foundation for these fundamental relations in cosmology. Additionally, using the first law of thermodynamics and Euler's equation, we derive a set of equations that, at linear order, coincide with those obtained from the conservation of the stress-energy tensor in General Relativity. This approach not only highlights the consistency between Newtonian and relativistic frameworks in certain limits but also serves as a pedagogical bridge, offering insights into the physical principles underlying the dynamics of the universe. |
| title | On the perturbed Friedmann equations in Newtonian Gauge |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics Mathematical Physics |
| url | https://arxiv.org/abs/2412.15139 |