Hello, thanks for your responses. I solved it numerically in Mathematica before posting it here, even for different sets of initial conditions. I am trying to get an approximate analytical solution and yea, i will ask for a context regarding the equations. Our Professor did say that if needed...
Hi. I have been trying for sometime to solve the following system of DEs analytically(Is it possible?) but no luck so far.
$$x''(t)=-z(t)x'(t)-x(t)+y(t),$$ $$y'(t)=-z(t)y(t)+x^2(t)$$ $$z'(t)=-2z^2(t)-x(t)$$.
With the initial conditions ##x(0)=1## , ##x'(0)=0## ,##y(0)=0## and ##z(0)=1##...
I came across Tolman solution while studying exact solutions of Einstein's equations,first in "Lectures on General Relativity by A. Papapetrou" and later in "An introduction to the theory of early universe(vol. 2) by Gorbunov and Rubakov". But still i need more literature on the subject and i...
Hello,
Can anyone suggest some text(books/papers) for a better understanding of Tolman solution and the solution with f(R) corrections?
I came across Tolman solution while studying exact solutions of Einstein's equations,first in "Lectures on General Relativity by A. Papapetrou" and later in...
Hello,
Can anyone suggest some text(books/papers) for a better understanding of Tolman solution and the solution with f(R) corrections?
Thanks
PS: I hope i have posted this in the right section.