Precession shift in curvature based extended theories of gravity and quintessence fields
Abstract In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar–Tensor Fourth Order Gravity (STFOG), which include several models of modified gravity. The form of the correc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10235-x |
| _version_ | 1818774203644510208 |
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| author | A. Capolupo G. Lambiase A. Tedesco |
| author_facet | A. Capolupo G. Lambiase A. Tedesco |
| author_sort | A. Capolupo |
| collection | DOAJ |
| description | Abstract In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar–Tensor Fourth Order Gravity (STFOG), which include several models of modified gravity. The form of the corrections to the Newtonian potential if of the form of Yukawa-like potential (5th force), i.e. $$V(r)=\alpha \frac{e^{-\beta r}}{r}$$ V ( r ) = α e - β r r , where $$\alpha $$ α is the parameter related to the strength of the potential, and $$\beta $$ β to the range of the force. The present data on periastron advance allow to infer a constraint on the free parameter of the gravitational models. Moreover, the Non-commutative Spectral Gravity (NCSG) is also studied, being a particular case STFOG. Here we show that the precession shift of Planet allows to improve the bounds on parameter $$\beta $$ β by several orders of magnitude. Finally such an analysis is studied to the case of power-like potential, referring in particular to deformation of the Schwarzschild geometry induced by a quintessence field, responsible of the present accelerated phase of the Universe. |
| first_indexed | 2024-12-18T10:37:25Z |
| format | Article |
| id | doaj.art-dc0a63a1a0d3482f90de452ffd736df3 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-12-18T10:37:25Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-dc0a63a1a0d3482f90de452ffd736df32022-12-21T21:10:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-04-0182411210.1140/epjc/s10052-022-10235-xPrecession shift in curvature based extended theories of gravity and quintessence fieldsA. Capolupo0G. Lambiase1A. Tedesco2Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di SalernoDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di SalernoDipartimento di Fisica “E.R. Caianiello”, Università degli Studi di SalernoAbstract In this paper we constrain the sizes of hypothetical new weak forces by making use the data coming from the precession of Planets. We consider the weak field approximation of Scalar–Tensor Fourth Order Gravity (STFOG), which include several models of modified gravity. The form of the corrections to the Newtonian potential if of the form of Yukawa-like potential (5th force), i.e. $$V(r)=\alpha \frac{e^{-\beta r}}{r}$$ V ( r ) = α e - β r r , where $$\alpha $$ α is the parameter related to the strength of the potential, and $$\beta $$ β to the range of the force. The present data on periastron advance allow to infer a constraint on the free parameter of the gravitational models. Moreover, the Non-commutative Spectral Gravity (NCSG) is also studied, being a particular case STFOG. Here we show that the precession shift of Planet allows to improve the bounds on parameter $$\beta $$ β by several orders of magnitude. Finally such an analysis is studied to the case of power-like potential, referring in particular to deformation of the Schwarzschild geometry induced by a quintessence field, responsible of the present accelerated phase of the Universe.https://doi.org/10.1140/epjc/s10052-022-10235-x |
| spellingShingle | A. Capolupo G. Lambiase A. Tedesco Precession shift in curvature based extended theories of gravity and quintessence fields European Physical Journal C: Particles and Fields |
| title | Precession shift in curvature based extended theories of gravity and quintessence fields |
| title_full | Precession shift in curvature based extended theories of gravity and quintessence fields |
| title_fullStr | Precession shift in curvature based extended theories of gravity and quintessence fields |
| title_full_unstemmed | Precession shift in curvature based extended theories of gravity and quintessence fields |
| title_short | Precession shift in curvature based extended theories of gravity and quintessence fields |
| title_sort | precession shift in curvature based extended theories of gravity and quintessence fields |
| url | https://doi.org/10.1140/epjc/s10052-022-10235-x |
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