Relativity visualized

Space Time Travel

List of sector models

Surfaces

Spherical Cap

Spherical Cap

Cut-out Sheet Spherical Cap (PDF)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014

Articles that refer to this material:

Sector models - a toolkit for teaching general relativity: II. Geodesics, 2018


Spherical Cap

Spherical Cap

Worksheet Spherical Cap (PDF)

Variants with markings for geodesics: single geodesic (PDF), two initially parallel geodesics (PDF)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: II. Geodesics, 2018

Articles that refer to this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014


Saddle

Saddle

Cut-out Sheet Saddle (PDF)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014

Articles that refer to this material:

Sector models - a toolkit for teaching general relativity: II. Geodesics, 2018


Saddle

Saddle

Worksheet Saddle (PDF)

Variants with markings for geodesics: single geodesic (PDF), two initially parallel geodesics (PDF)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: II. Geodesics, 2018

Articles that refer to this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014


Torus

Torus

Cut-out Sheet Torus (PDF)

Articles that explain this material:

Teaching Gravitational Light Deflection, 2016


Sector Model of the Equatorial Plane of a Black Hole

Equatorial Plane of a Black Hole

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: II. Geodesics, 2018


Sector Model of the Equatorial Plane of a Black Hole

Equatorial Plane of a Black Hole

Worksheet Equatorial Plane of a Black Hole (PDF)

(enlarge to A3 format)

Variants with markings for geodesics: single geodesic (PDF), digon (PDF), two initially parallel geodesics (PDF)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: II. Geodesics, 2018

Articles that refer to this material:

Teaching Gravitational Light Deflection, 2016


Spaces


Sector Model Euclidean Space

Euclidean Space

Cut-out Sheet Euclidean Space (PDF)

Support Piece (PDF)

Animation: MPEG1 320×240 (1.0 MB), MPEG1 640×480 (2.4 MB)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014


Sector Model Black Hole

Black Hole

Cut-out Sheet Black Hole (PDF)

Animation: MPEG1 320×240 (1.3 MB), MPEG1 640×480 (3.1 MB)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014


Spacetimes


Radial Ray of a Black Hole

Radial Ray of a Black Hole

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: III. Spacetime geodesics, 2018

Articles that refer to this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014


radial Ray of a Black Hole

Radial Ray of a Black Hole

Worksheet Radial Ray of a Black Hole - 2 Columns (PDF)

Cut-out Sheet Transfer Sectors (PDF)

Variant with markings for geodesics: two particles falling from rest (PDF)

Articles that explain this material:

Sector models - a toolkit for teaching general relativity: III. Spacetime geodesics, 2018

Articles that refer to this material:

Sector models - a toolkit for teaching general relativity: I. Curved spaces and spacetimes, 2014



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Authors: Ute Kraus, Corvin Zahn, Date: April 17, 2014
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