Gravitational waves can be derived from the non-linear Einstein field equations and since they are by definition waves they must obey the wave equation:
$u_{tt}=c^{2}u_{xx}$ but in General Rela...
Suppose we have a gravitational wave which obeys the equation:
$[G_{tt}-c^{2}G_{xx}]h_{\mu\nu}=0$
Lets take the case where $h_{\mu\nu}\ne0$ so we are left with the classical wave equation.Suppose...
Lets say we have a mass connected to a spring.Assuming not any friction the ODE which describes the system is
$m\frac{d^{2}x}{dt^{2}} = -kx$
We can set 2 Dirichlet boundary conditions $x(0)=0$ an...
