Recent content by CarlosMarti12

I am trying to write the Einstein field equations $$R_{\mu\nu}-\frac{1}{2}g_{\mu\nu} R=\frac{8\pi G}{c^4}T_{\mu\nu}$$ in such a way that the Ricci curvature tensor $$R_{\mu\nu}$$ and scalar curvature $$R$$ are replaced with an explicit expression involving the metric tensor $$g_{\mu\nu}$$...

Thanks for the answers everyone! Unfortunately I don't have access to http://scitation.aip.org/content/aapt/journal/ajp/50/9/10.1119/1.12748 Could the matrix be written in the form I+\frac{UU^T}{U_0+c}, including time components?

As I understand it, the value of a 4-vector x in another reference frame (x') with the same orientation can be derived using the Lorentz boost matrix \bf{\lambda} by x'=\lambda x. More explicitly, $$\begin{bmatrix} x'_0\\ x'_1\\ x'_2\\ x'_3\\ \end{bmatrix} = \begin{bmatrix}...

Homework Statement 40 cm3 of a gas was exploded with 40 cm3 of oxygen (known to be in excess). Under the conditions used, only hydrogen and carbon monoxide reacted with oxygen. On cooling the mixture to room temperature, the volume was 51 cm3. On adding concentrated KOH, the volume decreased...

Hello everyone! I have calculated the velocities required for an orbiting body to follow a circular, parabolic, and hyperbolic trajectory around another massive body, which are the following: v_{circular} = \sqrt{\frac{\mu}{r}} = \sqrt{\frac{GM}{r}} v_{parabolic} =...

Homework Statement Suppose an object has a velocity v and an acceleration of a, where a is negative. The object will eventually reach a velocity of zero v = 0. How much distance will the object travel until v = 0? Homework Equations v = u + at s = 0.5(u+v)t s = ut + 0.5 at2 v2 - u2...

Hello, I am trying to calculate what the margin of error for the standard deviation would be if each data point has a margin of error E. The standard deviation (for 3 data points) is defined as σ = \sqrt{\frac{(x_{1}-μ)^{2}+(x_{2}-μ)^{2}+(x_{3}-μ)^{2}}{3}} Where μ =...