Publication: Two conserved angular momenta in schwarzschild spacetime geodesics
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Issued Date
2019
Resource Type
File Type
application/pdf
ISSN
17426588
Other identifier(s)
2-s2.0-85077821488
Rights Holder(s)
Scopus
Bibliographic Citation
Journal of Physics: Conference Series. Vol 1380, No.1 (2019)
Suggested Citation
Musiri S. Two conserved angular momenta in schwarzschild spacetime geodesics. Journal of Physics: Conference Series. Vol 1380, No.1 (2019). doi:10.1088/1742-6596/1380/1/012168 Retrieved from: https://hdl.handle.net/20.500.14740/5011
Author(s)
Abstract
The present study investigated the geodesic paths in the 3+1 dimensional Schwarzschild spacetime. Four conserved parameters were found: The first is the conserved total energy: The second is the coordinate-invariant metrics: And the final two are the angular momenta (Pθ and P ) in the spherical coordinate. For θ = π/2 and when excluding a 1/c 2 term in the equation of motion, we recover the orbit equation of the two-body problem. But when not excluding that term, we recover the orbit precession, e.g. the perihelion precession of Mercury. When the value θ is not fixed, we found the equation of motion to be the radius r(θ) as a function of θ, which is similar to the function for a fixed value of θ. © Published under licence by IOP Publishing Ltd.