# Schwarzschild Space-Time Embedding Diagram

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

A two-dimensional analog of four-dimensional spacetime curvature. The yellow area indicates the presence of mass. When the mass density becomes too great for a given radius, the surface will "break" and the yellow area will disappear—indicating the mass has now become a black hole.

Contributed by: Ben Langton (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

An embedding diagram may be visualized as a stretched rubber sheet onto which a heavy mass is placed, causing the sheet to curve in the vicinity of the mass to form a depression in the sheet. This model is based on the Schwarzschild solution of the Einstein field equations of general relativity for the gravitational field of a non-rotating, spherically symmetric body.

## Permanent Citation

"Schwarzschild Space-Time Embedding Diagram"

http://demonstrations.wolfram.com/SchwarzschildSpaceTimeEmbeddingDiagram/

Wolfram Demonstrations Project

Published: March 7 2011