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Qmechanic ♦
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Physical interpretation of the Reissner-NordstromNordström metric

The Reissner-NordstromNordström metric (in spherical coordinates and c = 1$c = 1$) differs from the Schwarzschild metric in a additive term $$\frac{GQ^2}{4\pi\epsilon_0 r^2}$$,$$\frac{GQ^2}{4\pi\epsilon_0 r^2},$$ so the metric is

$$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$$$$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2.$$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?

Physical interpretation of the Reissner-Nordstrom metric

The Reissner-Nordstrom metric (in spherical coordinates and c = 1) differs from the Schwarzschild metric in a additive term $$\frac{GQ^2}{4\pi\epsilon_0 r^2}$$, so the metric is

$$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?

Physical interpretation of the Reissner-Nordström metric

The Reissner-Nordström metric (in spherical coordinates and $c = 1$) differs from the Schwarzschild metric in a additive term $$\frac{GQ^2}{4\pi\epsilon_0 r^2},$$ so the metric is

$$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2.$$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?

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edit approved Dec 4, 2015 at 9:15
Iamat8
edit approved Dec 4, 2015 at 9:15
Iamat8
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The Reissner-Nordstrom metric (in spherical coordinates and c = 1c = 1) differs from the Schwarzschild metric in a additive term $\frac{GQ^2}{4\pi\epsilon_0 r^2}$$$\frac{GQ^2}{4\pi\epsilon_0 r^2}$$, so the metric is

$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$$$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?

The Reissner-Nordstrom metric (in spherical coordinates and c = 1) differs from the Schwarzschild metric in a additive term $\frac{GQ^2}{4\pi\epsilon_0 r^2}$, so the metric is

$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?

The Reissner-Nordstrom metric (in spherical coordinates and c = 1) differs from the Schwarzschild metric in a additive term $$\frac{GQ^2}{4\pi\epsilon_0 r^2}$$, so the metric is

$$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?

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lytex
lytex
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Physical interpretation of the Reissner-Nordstrom metric

The Reissner-Nordstrom metric (in spherical coordinates and c = 1) differs from the Schwarzschild metric in a additive term $\frac{GQ^2}{4\pi\epsilon_0 r^2}$, so the metric is

$ds^2 = \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)dt^2 - \left(1 - \frac{2GM}{r} + \frac{GQ^2}{4\pi\epsilon_0 r^2}\right)^{-1} dr^2 - r^2d\Omega^2$

This has an effect of "repulsion".

Why adding more energy (by the addition of charge to the black hole) has this repulsive effect? What is the physical meaning of adding charge to a black hole?