Chaotic orbits for spinning particles in Schwarzschild spacetime

نویسندگان

  • Chris Verhaaren
  • Eric W. Hirschmann
چکیده

We consider the orbits of particles with spin in the Schwarzschild spacetime. Using the PapapetrouDixon equations of motion for spinning particles, we solve for the orbits and focus on those that exhibit chaos using both Poincaré maps and Lyapunov exponents. In particular, we develop a method for comparing the Lyapunov exponents of chaotic orbits. We find chaotic orbits for smaller spin values than previously thought and find chaotic orbits with astrophysically relevant spin values.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A pr 1 99 6 Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle

We study the motion of a spinning test particle in Schwarzschild spacetime, analyzing the Poincaré map and the Lyapunov exponent. We find chaotic behavior for a particle with spin higher than some critical value (e.g. Scr ∼ 0.64μM for the total angular momentum J = 4μM), where μ and M are the masses of a particle and of a black hole, respectively. The inverse of the Lyapunov exponent in the mos...

متن کامل

Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle

We study the motion of a spinning test particle in Schwarzschild spacetime, analyzing the Poincaré map and the Lyapunov exponent. We find chaotic behavior for a particle with spin higher than some critical value (e.g. Scr ∼ 0.64μM for the total angular momentum J = 4μM), where μ and M are the masses of a particle and of a black hole, respectively. The inverse of the Lyapunov exponent in the mos...

متن کامل

Stability of Circular Orbits in General Relativity: a Phase Space Analysis

Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various physically interesting environments. The approach is shown to work in a revealing way in Schwarzschild spacetime. All relevant conclusions about circular orb...

متن کامل

qc / 0 70 20 72 v 2 14 F eb 2 00 7 1 / f fluctuations in spinning - particle motions around Schwarzschild black hole

We study the properties of chaos in spinning-particle motions in Schwarzschild spacetime. We characterize the chaos in the motions using the power spectrum. We discover that the power spectrum shows not only white noise but also 1/f type fluctuation, depending on the value of the spin and the angular momentum of the test particle. We obtain the phase diagram for the properties of the chaos. Fur...

متن کامل

Comment on "ruling out chaos in compact binary systems".

Intuitively, black hole binaries are obvious candidates for chaotic dynamics. Firstly, they are highly non-linear systems and chaos is an expression of extreme nonlinearity. Secondly, there are isolated unstable orbits around a Schwarzschild black hole, and unstable orbits are a red flag for the onset of chaos. Surely the orbits only become more unstable and more complex when there are two blac...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2010