19:05

The Pullback of Volume Forms

14:28

Introduction to the Four Velocity and Four Momentum of a Photon - 2

12:48

Introduction to the Four Velocity and Four Momentum of a Photon - 1

17:56

Introduction to Energy and Momentum in Special Relativity

19:13

The Pullback of k-forms

23:09

The Pullback of 3-forms

14:49

The Pullback of 2-forms

17:28

The Pullback of 1-forms - part 2

21:10

The Pullback of 1-forms

16:47

The Push Forward of Vectors on Manifolds - part 5

18:58

The Push Forward of Vectors on Manifolds - part 4

12:57

The Pushforward of Vectors on Manifolds - 3

21:58

The Push Forward of Vectors on Manifolds - part 2

36:22

The push forward of vectors on manifolds

21:24

Introduction to the Hodge Star Operator - 2

24:04

Introduction to the Hodge Star Operator - 1

25:56

Wedge Product - 2

18:15

Introduction to Exterior Differentiation - 2

18:16

Introduction to Exterior Differentiation

22:03

Introduction to 3-Forms

17:15

Wedge Product

20:25

Introduction to 2-Forms

15:42

Gradient is a 1-Form

12:07

Introduction to 1-Forms

26:04

The Levi Civita Connection

13:21

Introduction to the Lie Derivative - 2

17:57

Introduction to the Lie Derivative - 1

12:38

The flow of a vector field

16:04

The Functional Derivative - 2

10:42

The Functional Derivative - 1

16:06

Coordinate bases and Non Coordinate bases - part 2

27:54

Kerr geodesics - 27

27:12

Kerr geodesics - 26

16:14

Schwarzschild geodesics - 14

17:06

Kerr geodesics - 25

33:58

Kerr geodesics - 24

18:14

Kerr geodesics - 23

28:13

Kerr geodesics - 22

14:32

Kerr geodesics - 19

27:21

Kerr geodesics - 21

14:26

Kerr geodesics - 20

09:49

Kerr metric - 12

28:15

Kerr geodesics - 18

17:10

Kerr geodesics - 17

20:07

Kerr geodesics - 16

09:44

Kerr geodesics - 15

21:57

Kerr geodesics - 14

26:03

Kerr geodesics - 13

26:01

Kerr geodesics - 12

32:11

Kerr geodesics - 11

16:30

Kerr geodesics - 10

05:39

Kerr geodesics - 9 - (correction)

04:16

Schwarzschild geodesics - 3 (update)

31:47

Kerr geodesics - 9

24:27

Kerr geodesics - 7 (corrected)

16:51

Kerr geodesics - 8

13:43

Kerr geodesics - 6

30:36

Kerr geodesics - 5

16:26

Kerr geodesics - 4

23:30

Kerr geodesics - 3