This presentation is based on an exhibition of Einstein's manuscripts on General Relativity that was organized during the Einstein centenary in Berlin in November 2015.

1. Einstein’s Road To General
Relativity

3. Harnack House, Berlin

4. Max Planck
Einstein with Franck Werner Heisenberg

5. The Einstein Exhibition

6. The Zurich Notebook

8. Gauss’ Theory of Surfaces
Theorema Egregium: Gauss curvature is invariant
under local isometries of the surface (and
therefore depends only on the metric properties
of the surface).
Gauss Curvature
Second Fundamental Form

9. Theorema Egregium
Metric Tensor
First Fundamental Form
Normal Coordinates

12. A new found
respect for
mathematics!

13. The Drama of
November
1915

14. Foundations of
the General
Theory of
Relativity

15. The Manuscripts

16. The Manuscripts In
Space

17. Special Relativity and its
Generalization.

18. Minkowski Space-Time

19. The Principle of General Covariance
The differential equations
describing the laws of
nature must be tensor
differential equations that
are invariant under
coordinate transformations.Mach’s Principle

20. The Principle of Equivalence
“The happiest thought of my life!”
- c 1907

21. The need for Non-Euclidean Geometry
K
K’

22. The Lorentzian Metric

23. Tensor
Calculus and
the
Summation
Convention!

24. Variational Approach to Geodesics

25. The Geodesic Equation

26. Christoffel Symbol

27. Covariant Derivative

28. Parallel Transport and Normal
Coordinates

29. Riemann Curvature

30. The Riemann-Christoffel Tensor

31. The criterion for local “flatness”

32. Geodesic Equation of Motion

33. Vacuum Einstein
Equations for a
Gravitational Field

34. Motivation
from
Poisson’s
Equation

35. Einstein’s Field
Equations of
Gravitation

36. Newtonian
Approximation

37. Time Dilation and Gravitational
Redshift

38. Light Deflection and Perihelion Motion
of Mercury

39. Light Deflection and Perihelion Motion
of Mercury

40. Confirmation of
Bending of Light

41. A postcard from Schwarzschild

43. LIGO Interferometer

44. Thank you!

45. The Einstein Centenary

46. Inside the Harnack House

47. Physics and Ideology

48. Einstein Conference
Yvonne Choquet-Bruhat Roger Penrose David Gross