Course syllabus (RTF format)

**Lecture slides:**

Lecture 1 2up 4up

Lecture 2 2up 4up

Lecture 3 2up 4up

Lecture 4 2up 4up

Lecture 5 2up 4up

Lecture 6 2up 4up

Lecture 7 2up 4up

Lecture 8 2up 4up

Lecture 9 2up 4up

**Homework:**

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

**Other materials:**

The linearized gravity notebook from Charalampos Markakis, plus an older tensor calculation notebook.

Notes on the "difficult way" of obtaining the quadrupole formula. (See also Maggiore's errata for further pedagogical discussion of this point.)

**Useful links for the class:**

The Flanagan and Hughes review

(I'm linking to its page on ADS, so you have links both to the published and arXiv versions; the latter will be available off campus. While ADS is at heart
astronomy-oriented, it's really quite good for physics, as well, and you might want to learn how to use it, since it has many powerful features for making your way
through the literature.) But note that their Eqs. (4.23) and (4.26) have rather
unfortunate omissions in the published version! [The omission in
Eq. (4.23) is corrected in the arXiv version.]

The Blandford and Thorne textbook on classical physics (available online here) contains a chapter (no. 26) on gravitational waves.

There is also an online course on gravitational waves from Caltech.

Teviet Creigton's GW spectrum that I showed in the introduction

Sean Carroll's GR course notes (with some links to other online GR notes/tutorials)

Alessandra Buonanno's GW lecture notes

Jonathan Gair's GW course slides.

The JASON report about the infeasibility of proposed technological applications of high-frequency gravitational waves.

Eric Poisson's PN notes (N.B.: Direct link to a PDF.)

Luc Blanchet's PN Living Review.

The standard papers on the DIRE approach to PN: Will and Wiseman, and the two Pati and Will papers.

Richard Isaacson's two papers on the shortwave approximation.

Kip Thorne's review on multipoles for gravitational radiation.

Daniel Kennefick's eprint about controversies in the history of the radiation reaction problem in GR.

Walker and Will's paper critically reviewing various computations of the quadrupole formula.

The latest paper on observations of the Hulse-Taylor binary pulsar.

Various relevant papers on binary black hole recoil:

The Lousto and Zlochower PRL.

The Rochester
group's review
of kick computations.

The Blanchet, Qusailah, and Will paper on the 2PN computation of the recoil.

The Merritt *et al.* article on observational consequences.

The paper
claiming an observation of a recoiling supermassive black hole; see
the citing papers given by ADS for further astrophysical discussion
(and why this object probably isn't a recoiling black hole).

The Caltech/Cornell
vortex/tendex PRL
and PRD. (The
PRD is the Nichols *et al.* paper referenced in HW 2. See also the citing
papers for follow-ups.) The
"superkick" movie I showed is available here.

Bernard Schutz's original letter on determining the Hubble constant with
gravitational waves.

The more detailed Holz and
Hughes article
on using LISA to perform this measurement in practice.

The audio of a chirp waveform I played in class is given here.

The paper from which I took the parameters for HM Cnc. (Note how messy these electromagnetic observations of compact binaries are!)

The original eccentric binary paper by Peters and Mathews, plus the follow-up from Peters.

The Nelemans, Yungelson, and Portegies Zwart paper from which I took the eccentric binary GW amplitude figure.

The Martel and Poisson paper from which I took the eccentric binary waveform.

The Key and Cornish paper from which I took the spinning eccentric binary waveform.

Larry Kidder's paper on PN spin effects.

The visualization of a precessing binary black hole inspiral I showed in class.

Postnov and Yungelson's compact binary evolution Living Review.

A review of compact binary population synthesis results for ground-based detectors.

The Belczynski *et al.* letter from which I took the detection rates table. (Note that
the "4*"s in Table 2 in the published version are clearly a compositor's error. The arXiv
version is correct.)

The Sesana and Vecchio paper giving population synthesis results for pulsar timing arrays.

The LIGO possible M31 GRB paper, and the possible M81 GRB paper.

The Comerford *et al.* dual
SMBH paper.
(See also the citing papers for other interesting work, including the
Eracleous *et al.* paper.)

The Stroeer and Vecchio paper about the LISA verification binaries and Gijs Nelemans's wiki for them.

LIGO timeline.

Amber Stuver's LIGO-related blog. (See, in particular, her take on the "Big Dog" excitement.)

The Blanchet, Faye, and Ponsot paper deriving the gravitational field of a binary in the post-Newtonian approximation.

Papers about PN tail effects: Blanchet and Damour discuss the formalism (they discuss hereditary effects in general in this paper), Blanchet and Schäfer further consider the application to compact binaries, and Blanchet and Sathyaprakash discuss the prospects for detection in some detail.

Papers about the nonlinear memory: Christodoulou's original PRL is generally rather incomprehensible. See Will and Wiseman and Thorne for more physical intuition. Also see the papers by Favata and van Haasteren and Levin for information about detection.

The Flanagan
and Hinderer paper on possibly detecting tidal deformations of neutron stars, and the followup
computation for realistic EOSs by Hinderer *et al*. The most recent
work, using higher-order PN calculations, and considering a network of detectors to improve
the prospects for measurement (and finding them to be quite good indeed), is by Damour, Nagar, and Villain. Earlier papers that considered finite
size effects for compact binaries include Bildsten and
Cutler and Kokkotas and Schäfer.

Evolution due to accretion effects is considered in Sec. 3.2 of Postnov and Yungelson's Living Review.

The double pulsar GR test paper.

The 1.97 solar mass neutron star Shapiro delay measurement paper.

The Berti *et al.* review of QNM calculations.

Neutron star modes are covered in the Kokkotas and Schmidt Living Review.

A very recent preprint about r-modes, and Ben Owen's website with the animations I showed.

An f mode CFS instability PRL, paper, and preprint.

Three recent reviews about observations of deformed neutron stars, Ben Owen's PRL about maximum deformations from exotic equations of state, and my preprint with Ben about the relativistic maximum deformation.

The Horowitz and Kadau and Hoffman and Heyl breaking strain papers. (Note, however, that Hoffman and Heyl consider a pulsar for which the spindown limit on the gravitational waves is below anything that could have been detected in LIGO searches.)

Steve Drasco's EMRI animations.

Scott Hughes's article about EMRIs including tidal heating.

Fujita's 22PN EMRI paper.

The two noncommutative geometry-inspired gravitational wave papers, plus the Stein and Yunes paper on the effective stress-energy tensor in modified theories. See also a recent paper on gravitational waves in f(R) gravity, and an even more recent preprint on gravitational radiation from compact binary systems in Brans-Dicke gravity.

Andrea Lommen's article on pulsar timing arrays.

A few papers on cosmic strings and GWs: A theory paper (one of the many involving Xavier Siemens), and a LIGO observation paper.

A recent paper on NGO/eLISA and stochastic backgrounds.

A very recent paper giving improved bounds on possible stochastic backgrounds of GWs from CMB observations, and another very recent paper making predictions for GWs from the electroweak phase transition in extensions of the Standard Model.

Eric Gourgoulhon's and Brandon Carter's fluid dynamics articles. (N.B.: Direct links to PDFs.)

L. S. Finn's derivation of the response of a gravitational wave detector, and N. J. Cornish's alternative version.

Robert
Cousins's *Why
isn't every physicist a Bayesian?* (N.B.: Direct link to
a PDF.)

L. S. Finn's *Detection,
Measurement, and Gravitational Radiation*, and a
follow-up
paper by Finn and Chernoff applying these results to compact
binaries.

Cutler and Flanagan's paper on gravitational wave data analysis of compact binaries.

The fast-rotating O star paper.

Wald's Living Review on black hole thermodynamics.

The Lattimer and Prakash Nucl. Phys. A paper.

The Lo and Lin neutron star spin parameter paper.

The Berti,
Cardoso, and Will
and Dreyer *et
al.* black hole spectroscopy papers, plus QNM tables.

The standard set of Advanced LIGO noise curves.

The Yunes *et al.* eccentric waveform paper and the Arun *et al.* spinning waveform paper.

Two papers concerning degeneracies between chirp mass and spin in parameter estimation.

The Yunes and Pretorius modified gravity waveform paper, and several followups (see also some explicit calculations of modified gravity effects in binaries).