Geodesic
Geodesic equations in the weak field limit of general f (R) gravity theory
Filomat, Tome 37 (2023) no. 25, p. 8575

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DOI

In our work we presented the modified field equations generated by action with unspecified function f (R). Assuming spherical symmetry, we used the corresponding static Schwarzschild-like metric in the weak field limit. Also we considered geodesic equations of motion describing orbits and orbital speeds which can be measured in galactic environment. We solved geodesic equations in the case of a power-law f (R) theories, that is we set f (R) = f0nRn.
DOI : 10.2298/FIL2325575L
Classification : 83-XX, 83C10, 83C15, 83C25
Keywords: Relativity and gravitational theory, Equations of motion, Exact solutions, Approximation procedures, Weak fields 
Nenad Dj Lazarov; Vesna Borka Jovanović; Duško Borka; Predrag Jovanović. Geodesic equations in the weak field limit of general f (R) gravity theory. Filomat, Tome 37 (2023) no. 25, p. 8575 . doi: 10.2298/FIL2325575L
@article{10_2298_FIL2325575L,
     author = {Nenad Dj Lazarov and Vesna Borka Jovanovi\'c and Du\v{s}ko Borka and Predrag Jovanovi\'c},
     title = {Geodesic equations in the weak field limit of general f {(R)} gravity theory},
     journal = {Filomat},
     pages = {8575 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325575L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325575L/}
}
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