Please, help here people.
Im reading this article Wave Optics in Gravitational Lensing (T. T. Nakamura, 1999) . In the article start work with
\begin{equation}
(\nabla ^2 +\omega)\tilde\phi = 4\omega^2U\tilde\phi
\end{equation}
where $$\tilde\phi = F(\vec r)\tilde\phi_{0}(r)$$. Using...
Homework Statement
i have this function
\begin{equation}
f(t) = e^t
\end{equation}
Homework Equations
[/B]
the Fourier seria have the form
\begin{equation}
f(t) = \sum C_{n} e^{int}
\end{equation}The Attempt at a Solution }
[/B]
so i need to find the coeficients $c_{n}$ given by...
In Schutz says When we have weak gravitaional fields then the line element *ds* is
$$
ds^{2}=-(1+2\phi)dt^{2}+(1-2\phi)(dx^{2}+dy^{2}+dz^{2})
$$
so the metric is
$$
{g_{\alpha\beta}} =\eta_{\alpha\beta}+h_{\alpha\beta}= \left( \begin{array}{cccc}
-(1+2\phi) & 0 & 0 & 0\\
0 & (1-2\phi) & 0 &...
Hi people, help here please
When the Einstein equation are linearized the results are the weak field Einstein equations
$$
\left ( -\frac{\partial^{2}}{\partial t^{2}} + \nabla^{2} \right ) \bar h^{\mu\nu}=-16\pi T^{\mu\nu}
$$
a solution for this equations considering the source are the...
Hi people :)
I'm learning some of General Relativity topics but still I am a beginer, uh! i use the Schutz "A first course of general relativity", but i a little confused about the units, the author say it use c = G = 1 all around the book.
Just right now i reading chapter 11: Schwarchild...