Questions tagged [post-newtonian]
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58 questions
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Derivation of Post-Newtonian (PN) expression for acceleration in Schwarzschild geometry
The expression for the acceleration of a near-earth satellite as presented in the IERS Technical note is given by
\begin{equation} \label{eq:problemeq} \tag{1}
\frac{d^2\mathbf{r}}{dt^2} = \frac{GM_E}{...
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Gravitational force for a binary of point particles with GR term
i'm trying to simulate the two body problem with 2 equal masses and I want to account for general relativistic effects. I know that the difference in the gravitational force would be an additional ...
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Einstein-Infeld-Hoffmann (EIH) Lagrangian for a Test-Particle as Limit of Schwarzschild-Geodesic
Consider a test particle of mass $m$ which is in orbit around a spherical-symmetric body with mass $M$. It therefore has a position as described by the coordinates $r,\phi$, and its motion can be ...
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Post-Minkowskian expansion of some quantities in Post-Newtonian theory
I'm studying Post-Newtonian theory on the book "Gravity" by Poisson and Will and I found a few formulas that I can't obtain by myself. I'm pretty sure it must be quite simple, but can't find the right ...
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Definition of "nonlinear" in the context of perturbation of gravity
What exactly is the definition of a nonlinear perturbation when applied to a background spacetime metric?
I have seen so called "linear perturbations" which look like
$$ds^2 = -(1+2\Phi)dt^2 ...
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Post-Newtonian approximation for binary gravitating system
I have been studying gravitation waves radiated by a binary source. I have linearised Einstein's field equation and approximated the source to a Quadrupole moment to get the power radiated by the ...
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Post-Newtonian acceleration formula
First of all, I have to say that I know very little about tensors and partial differential equations, as I've never done them at school. I'm developing an application which simulates the motion of ...
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Is relativity necessary for the existence of life?
If the universe didn't have the relativity principle, would it be able to support life?
Life consists of very complicated organisms. The operation of these organisms depends on the laws of physics.
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