Price's Power Law: Mass-Energy Dampening & h Constant

  • Context: Graduate 
  • Thread starter Thread starter stevebd1
  • Start date Start date
  • Tags Tags
    Law Power Power law
Click For Summary
SUMMARY

The discussion centers on Price's Power Law, specifically its application to mass-energy damping in radiative tails, expressed mathematically as δm(v₁) ∼ hv₁⁻ᵖ. Here, δm represents the mass-energy of radiation flux, v₁ is the null coordinate, and p, which must be greater than or equal to 11, indicates the decay rate for gravitational radiation. The constant h is described as arbitrary, with suggestions that it may depend on the geodesic's constants of motion. Further insights are sought regarding the nature of this constant.

PREREQUISITES
  • Understanding of Price's Theorem in physics
  • Familiarity with gravitational radiation concepts
  • Knowledge of geodesics in general relativity
  • Basic mathematical proficiency in power law equations
NEXT STEPS
  • Research the implications of Price's Theorem on gravitational waveforms
  • Study the role of arbitrary constants in physical equations
  • Explore the relationship between geodesics and constants of motion in general relativity
  • Investigate advanced topics in radiative damping and its mathematical formulations
USEFUL FOR

Physicists, astrophysicists, and researchers interested in gravitational radiation and theoretical physics, particularly those exploring the mathematical foundations of mass-energy relationships.

stevebd1
Science Advisor
Insights Author
Messages
747
Reaction score
41
In prices's theorem, the power law damping of the radiative tail can take the asymptotic form of-

\delta m(v_1) \sim hv_1^{\ -p}

where \delta m is the mass-energy of the radiation flux, v_1 is the null coordinate and p determines the decay rate of the radiation (≥11 for gravitational radiation).

h is simply described as an 'arbitary constant', another paper suggests it might be '..a constant that depends on the geodesic’s constants of motion..'. Any suggestions as to what it might be?
 
Last edited:
Physics news on Phys.org

Similar threads

  • · Replies 35 ·
2
Replies
35
Views
3K
  • · Replies 50 ·
2
Replies
50
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 36 ·
2
Replies
36
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 62 ·
3
Replies
62
Views
12K
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 4 ·
Replies
4
Views
5K