Photon frequency shift in curvature-based Extended Theories of Gravity

Capozziello, Salvatore; Lambiase, Gaetano; Stabile, An.

doi:10.1140/epjp/s13360-021-01322-1

Cited by 2 publications

(1 citation statement)

References 65 publications

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“…However, also fine experiments can be conceived and realized in order to fix possible deviations and extensions with respect to GR. They can involve space-based setups like satellites and precise electromagnetic measurements [95,96].…”

Section: Introductionmentioning

confidence: 99%

Precession shift in curvature based extended theories of gravity and quintessence fields

2022

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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.

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Section: Introductionmentioning

confidence: 99%

Precession shift in curvature based extended theories of gravity and quintessence fields

2022

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Relativistic periastron advance beyond Einstein theory: analytical solution with applications

Tedesco,

Capolupo,

Lambiase

2024

Eur. Phys. J. C

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We find a new solution to calculate the orbital periastron advance of a test body subject to a central gravitational force field for relativistic theories and models beyond Einstein. This analitycal formula has general validity that includes all the post-Newtonian (PN) contributions to the dynamics and is useful for high-precision gravitational tests. The solution is directly applicable to corrective potentials of various forms, without the need for numerical integration. Later, we apply it to the scalar tensor fourth order gravity (STFOG) and noncommutative geometry, providing corrections to the Newtonian potential of Yukawa-like form $$V(r)=\alpha \frac{e^{-\beta r}}{r}$$ V ( r ) = α e - β r r , and we conduct the first analysis involving all the PN terms for these theories. The same work is performed with a Schwarzschild geometry perturbed by a Quintessence Field, leading to a power-law potential $$V(r)=\alpha _q {r}^q$$ V ( r ) = α q r q . Finally, by using astrometric data of the Solar System planetary precessions and those of the S2 star around Sgr A*, we infer new theoretical constraints and improvements in the bounds for $$\beta $$ β . The resulting simulated orbits turn out to be compatible with general relativity.

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Photon frequency shift in curvature-based Extended Theories of Gravity

Cited by 2 publications

References 65 publications

Precession shift in curvature based extended theories of gravity and quintessence fields

Precession shift in curvature based extended theories of gravity and quintessence fields

Relativistic periastron advance beyond Einstein theory: analytical solution with applications

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