Substituting the definition of the Schwarzschild radius r s gives. The Einstein tensor is found from the tensors already calculated. Nonsingular black hole models Black star Dark star Dark-energy star Gravastar Magnetospheric eternally collapsing object Q star Fuzzball. Viewed 2k times. The sphere of this radius is sometimes known as the photon sphere.

CHRISTOFFEL SYMBOLS FOR SCHWARZSCHILD METRIC.

Video: Christoffel symbols schwarzschild metrik General Relativity 12: Schwarszchild Solution

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One can check that the Schwarzschild metric ds2 = −(1 − . The non-vanishing Christoffel symbols for the metric () are given by. Γ1. = GM r3.

(r − 2GM). The Schwarzschild solution is the first exact solution to the Einstein Field Equations of General Relativity, the christoffel symbols for the schwarzschild metric.

Loading playlists Because test particles follow geodesics in a fixed metric, the orbits of those particles may be determined using the calculus of variations, also called the Lagrangian approach.

For example, they provide accurate predictions of the anomalous precession of the planets in the Solar System, and of the deflection of light by gravity.

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I've been slaving away trying to calculate the Christoffel symbols for the Kerr metric. The Einstein tensor is found from the tensors already calculated.

Γµ. The Schwarzschild metric is, in −+++ sign convention and units of c=1 is ds2=−(1 −2Mr)dt2+dr21−2Mr+r2(dθ2+sin2θdϕ2).

## The Schwarzschild Metric

We can index the. Using the metric above, we find the Christoffel symbols, where the indices are (12, 3, 4) = (r, θ, ϕ, t).

Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. After obtaining the Christoffel symbols we can calculate the geodesic equations. Like this video?

## Christoffel Symbols for Schwarzschild Metric () Physics Forums

We obtain. Nonsingular black hole models Black star Dark star Dark-energy star Gravastar Magnetospheric eternally collapsing object Q star Fuzzball. Find out why Close.