Recent content by inertiagrav

  1. I

    A A system of DEs with variable coefficients.

    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...
  2. I

    A A system of DEs with variable coefficients.

    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##...
  3. I

    A Understanding Tolman Solution & 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 "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...
  4. I

    A Understanding Tolman Solution & f(R) Corrections

    Hello Peter, I am actually looking for a reference or example myself to study from.
  5. I

    A Understanding Tolman Solution & f(R) Corrections

    For the closed solution. I am looking for an example of the closed solution and the solution with f(R) corrections.
  6. I

    A Understanding Tolman Solution & f(R) Corrections

    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...
  7. I

    Understanding Tolman Solution & f(R) Corrections

    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.
Back
Top