24-26 September 2024
Bogolyubov Institute for Theoretical Physics (Section 1-4), Institute of Mathematics (Section 5)
Europe/Kiev timezone

Orbital perturbation theory in Schwarzschild space-time

26 Sep 2024, 16:30
20m
322 (Bogolyubov Institute for Theoretical Physics (Section 1-4), Institute of Mathematics (Section 5))

322

Bogolyubov Institute for Theoretical Physics (Section 1-4), Institute of Mathematics (Section 5)

14-b, Metrolohichna Str., Kyiv, 03143, Ukraine 3, Tereschenkivska Str., Kyiv, 01024, Ukraine
Oral ASTROPHYSICS AND COSMOLOGY Afternoon Session 3

Speaker

Oleksii Yanchyshen (Bogolyubov Institute for Theoretical Physics)

Description

In our work, we obtain a set of Gaussian orbital perturbation equations in the Schwarzschild space-time in terms of Weierstrass elliptic functions, and solve it for several external forces in linear approximation. We consider forces defined from: the cosmological constant in the Schwarzschild–de Sitter space-time, various quantum gravity corrections, angular momentum from the Kerr space-time and some others. From this we obtain several observables, in particular, we consider a simple "kludge" scheme for gravitational waveforms.

Primary author

Oleksii Yanchyshen (Bogolyubov Institute for Theoretical Physics)

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