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General Relativity Cheat Sheet, Cheat Sheet of Relativity Theory

Massachusetts Institute of Technology (MIT)Relativity Theory

A cheat sheet for General Relativity. It includes equations for light speed, sub-light speed, stationary, Newtonian free fall, relativistic free fall, and constant velocity. The equations are presented in terms of dr/dt and dฯ„/dt. The cheat sheet is useful for students studying General Relativity who need a quick reference for these equations.

Typology: Cheat Sheet

2021/2022

Uploaded on 05/11/2023

magicphil
magicphil ๐Ÿ‡บ๐Ÿ‡ธ

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General'Relativity'Cheat'Sheet'
Light'Speed:'
๐‘‘๐‘Ÿ!
๐‘‘๐‘ก!=1โˆ’
๐‘Ÿ
!
๐‘Ÿ
!
๐‘!!
Sub-light'Speed:'
๐‘‘๐‘Ÿ!
๐‘‘๐‘ก!=1โˆ’
๐‘Ÿ
!
๐‘Ÿ
!
๐‘!โˆ’1โˆ’
๐‘Ÿ
!
๐‘Ÿ๐‘!๐‘‘๐œ!
๐‘‘๐‘ก!!
Stationary:'
๐‘‘๐œ!
๐‘‘๐‘ก!=1โˆ’
๐‘Ÿ
!
๐‘Ÿ!
Newtonian'Free'Fall:'
๐‘‘๐œ!
๐‘‘๐‘ก!=1โˆ’
๐‘Ÿ
!
๐‘Ÿโˆ’
๐‘Ÿ
!
๐‘Ÿ1โˆ’๐‘Ÿ
!
๐‘Ÿ
!
Relativistic'Free'Fall:'
๐‘‘๐œ!
๐‘‘๐‘ก!=1โˆ’
๐‘Ÿ
!
๐‘Ÿโˆ’
๐‘Ÿ
!1โˆ’๐‘Ÿ
!
4๐‘Ÿ
๐‘Ÿ1โˆ’๐‘Ÿ
!
๐‘Ÿ
!
Constant'Velocity:'
๐‘‘๐œ!
๐‘‘๐‘ก!=1โˆ’
๐‘Ÿ
!
๐‘Ÿโˆ’
๐‘ฃ!
๐‘!1โˆ’๐‘Ÿ
!
๐‘Ÿ
!
!

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General Relativity Cheat Sheet

Light Speed:

๐‘‘๐‘ก!^

! ๐‘!

Sub-light Speed:

๐‘‘๐‘ก!^

! ๐‘!^ โˆ’ 1 โˆ’

๐‘!^

Stationary:

๐‘‘๐‘ก!^

Newtonian Free Fall:

๐‘‘๐‘ก!^

Relativistic Free Fall:

๐‘‘๐‘ก!^

Constant Velocity:

๐‘‘๐‘ก!^

๐‘!^1 โˆ’