REL-26

Schwarzschild radius

Event-horizon scale.

Reading speed

GoverningSchwarzschild radius

Governing equation

R_s=2GM/c^2

where

M: M (Msun)
Rs: Schwarzschild radius (km)

Lecture brief

Historical brief

Einstein’s 1905 Lorentz kinematics and 1915 field equation, then Schwarzschild (1916) and Hawking temperature, recast time, mass and gravity. The lab computes dilation, E=mc² and horizon scales. This sheet (REL-26 — Schwarzschild radius) is the form associated with Schwarzschild radius. Working symbols: $M$ $\rightarrow$ $Rs$ . Event-horizon scale. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

Rs

from

M

in Relativity via

R_s=2GM/c^2

Event-horizon scale. Use it when a real relativity question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

M = 1.000\,\mathrm{Msun}

, the governing relation

R_s=2GM/c^2

yields

Rs = 2.948\,\mathrm{km}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

M M1 Msun

Outputs

Schwarzschild radius Rs2.948 km

Reading speed

Watch on YouTube

Free library

Full library

Free PDF / open book

YouTube channels

00:0 / 00:08

Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Event-horizon scale. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube