Recent content by inertiagrav
-
I
Graduate 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...- inertiagrav
- Post #4
- Forum: Differential Equations
-
I
Graduate 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##...- inertiagrav
- Thread
- Coefficients Differential eqautions System Variable
- Replies: 3
- Forum: Differential Equations
-
I
Graduate 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...- inertiagrav
- Post #7
- Forum: Special and General Relativity
-
I
Graduate Understanding Tolman Solution & f(R) Corrections
Hello Peter, I am actually looking for a reference or example myself to study from.- inertiagrav
- Post #5
- Forum: Special and General Relativity
-
I
Graduate 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.- inertiagrav
- Post #3
- Forum: Special and General Relativity
-
I
Graduate 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...- inertiagrav
- Thread
- Gravity
- Replies: 9
- Forum: Special and General Relativity
-
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.- inertiagrav
- Thread
- Gravity
- Replies: 1
- Forum: Science and Math Textbooks