**FIRST TERM:** *The mathematical foundations and formulation of GR, and some simple examples.*

**Special relativity in the language of tensors**- Vectors, tensors, and forms in flat spacetime (2012 Oct 01)
- Coordinate bases, tensor algebra in flat spacetime, and special relativity (2012 Oct 03)
- Tensor calculus and electrodynamics in flat spacetime (2012 Oct 08)
- Stress-energy tensor and conservation of energy and momentum (2012 Oct 10)

**Calculus in curved spacetime**- Vectors and tensor calculus in curved spacetime (2012 Oct 15)
- Supplement (examples)

- Geodesics and curvature (2012 Oct 24)

- Vectors and tensor calculus in curved spacetime (2012 Oct 15)
**General relativity****Linearized gravity and its applications**- Linearized gravity (2012 Nov 05)
- Weak field tests of GR: the gravitational redshift, deflection of light, and Shapiro delay (2012 Nov 07)
- External fields and generation of gravitational waves (2012 Nov 12)
- Asymptotically flat spacetimes and gravitational energy (2012 Nov 19)
- Binary evolution and radiation reaction (2012 Nov 26)

**Cosmology**- Relativistic cosmology (2012 Nov 28)
- Global structure, acceleration, and the initial singularity (2012 Dec 05)

**SECOND TERM:** *Relativistic stars, black holes, numerical methods, and advanced topics.*

[With Yanbei Chen]

**Instructor:**Chris Hirata (Cahill #272;`chirata@tapir.caltech.edu`)**TAs:**Nicholas Hunter-Jones (`nhunterj@caltech.edu`) and Abhilash Mishra (`abhilash@astro.caltech.edu`)**Location:**Lauritsen #269, Monday & Wednesday 1:00-2:30 PM**Prerequisites:**Standard undergraduate coursework on classical mechanics, electrodynamics, and special relativity.**Textbook:**Misner, Thorne, and Wheeler,*Gravitation*(1973). This will be supplemented with more recent material as appropriate.**Homework:**Due Wednesdays.**Office Hours:**Monday 5-6pm in 4th floor lounge, Lauritsen;**and**Tuesday 5-6pm in the TAPIR interaction room, 3rd floor, Cahill.**Grading:**80% weekly homeworks, 20% final exam. A "passing" grade is ≥50%.

- Homework 1: due 10/10/12 (solutions)
- Homework 2: due 10/17/12 (solutions)
- Homework 3: due 10/24/12 (solutions)
- Homework 4: due 10/31/12 (solutions)
- Homework 5: due 11/07/12 (solutions)
- Homework 6: due 11/14/12
- Homework 7: due 11/28/12 [Note skipped 1 week due to Thanksgiving]
- Homework 8: due 12/06/12 [1/2 homework]

- The exam is to be completed in 2.5 hours. It is due Wednesday 12/12/12 to Chris Hirata's mailbox on the 3rd floor of Cahill.
- This is a closed-book, open-notes exam. You may consult the course lecture notes, your own notes taken in class or elsewhere, and your returned homeworks and solution sets.
You may
**not**consult other references (papers, books, Internet sites other than the notes posted here, your classmates). - You should have the course notes available when you take the exam since they will be helpful.
- When you are ready to start the exam, download the PDF ___here___.