x
Home / 🔮 world building / science and engineering / Physics / Mechanics / General Relativity

General Relativity

Firstly, I'll start off by saying that I don't know anything about this theory. I do know that it states that mass curves spacetime, and acceleration is due to the apparent motion of particles along that line.

Einstein Field Equations

\(G_{\mu \nu} + \Lambda g_{\mu \nu} = \kappa T_{\mu \nu}\)

I will have to question:

  • What is the abstract of this theory?
  • What is \(G\)?
  • What is \(\mu\)?
  • What is \(\nu\)?
  • What is \(\Lambda\)?
  • What is \(g\)?
  • What is \(\kappa\)?
  • What is \(T\)?

Answers

  • \(G_{\mu \nu}\) is the Einstein tensor
  • \(g_{\mu \nu}\) is the metric tensor
  • \(T_{\mu \nu}\) is the stress-energy tensor
  • \(\Lambda\) is the cosmological constant
  • \(\kappa\) is the Einstein gravitational constant

Now I have to ask:

  • What is a tensor? A: A tensor is a multidimensional array of numbers, in the order o
  • What is the Einstein tensor?
  • What is the metric tensor?
  • What is the stress-energy tensor?
  • What is the cosmological constant?
  • What is the Einstein gravitational constant?

Answers

  • The Einstein tensor is a tensor defined as \(G_{\mu \nu}=R_{\mu \nu}-\frac{1}{2}g_{\mu \nu}R\)
  • It is also known as the trace-reversed Ricci tensor (or Ricci curvature tensor)
  • It is used to express the curvature of a pseudo-Reimannian manifold

Now I have to ask

  • \(R_{\mu \nu}\) is the Ricci curvature tensor
  • \(R\) is the scalar curvature

Backlinks

Left-click: follow link, Right-click: select node, Scroll: zoom
x