Lecture II: Coordinate bases, tensor algebra in at spacetime, and special relativity
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 3, 2012)
I.
OVERVIEW
In this lecture we will continue developing the tools of tensor alge
Lecture XIV: Global structure, acceleration, and the initial singularity
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: December 5, 2012)
I.
OVERVIEW
In this lecture, we will depart from the study of specic spacetimes and ask som
Lecture XIII: Relativistic cosmology
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: November 28, 2012)
I.
OVERVIEW
In this lecture, we will consider the general model of a homogeneous, isotropic universe. Only the metric structur
Lecture XII: Radiation reaction and binary evolution
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: November 26, 2012)
I.
OVERVIEW
We are now ready to consider the net loss of energy and angular momentum by a system emitting grav
Lecture XI: Asymptotically at spacetimes and gravitational energy
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: November 19, 2012)
I.
OVERVIEW
The previous discussions have taken place in the context of linearized GR, which is n
Lecture X: External elds and generation of gravitational waves
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: November 12, 2012)
I.
OVERVIEW
Having examined weak eld gravity and the associated experimental tests, we now turn our
Lecture IX: Weak eld tests of GR: the gravitational redshift, deection of light, and
Shapiro delay
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: November 7, 2012)
I.
OVERVIEW
General relativity is supposed to be a theory of natu
Lecture VIII: Linearized gravity
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: November 5, 2012)
I.
OVERVIEW
We are now ready to consider the solutions of GR for the case of weak gravitational elds. This encompasses
Newtonian gr
Lecture VII: Gravity gradients, the Ricci tensor, and the eld equations
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 29, 2012)
I.
OVERVIEW
This lecture will complete our description of curvature tensors. In particular,
Lecture VI: Geodesics and curvature
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 24, 2012)
I.
OVERVIEW
In this lecture, we will investigate geodesics. These can be dened in two ways as curves of zero acceleration,
and a
Lecture V: Vectors and tensor calculus in curved spacetime
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 15, 2012)
I.
OVERVIEW
Thus far we have studied mathematics and physics in at spacetime extensively. It is time now
Lecture IV: Stress-energy tensor and conservation of energy and momentum
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 7, 2011)
I.
OVERVIEW
In this lecture, we will consider the spatial distribution of energy and momentu
Lecture III: Tensor calculus and electrodynamics in at spacetime
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 8, 2012)
I.
OVERVIEW
In this lecture we will continue to develop tensor calculus and apply it to the formulat
Supplement Examples for Lecture V
Christopher M. Hirata
Caltech M/C 350-17, Pasadena CA 91125, USA
(Dated: October 24, 2012)
I.
A WORKED EXAMPLE: VECTOR CALCULUS IN POLAR COORDINATES
In this section, we will do some examples from vector calculus in polar