**Course:** PHZ 6607,
Special and General Relativity, **Class Hours:** MWF Period 10,
**NPB 1216**
**Instructor:** J. N. Fry, **Office:** 2172, **Phone:** 392-6692,
e-mail `fry#phys.ufl.edu`,
**Office Hours:** MWF 3:00–4:00
[Schedule]
**Grader:** Luyi Yan, **Office:** 1133,
**Phone:** 273-4643,
**e-mail:**
`yan88130[at]ufl.edu`, **Office Hour:** TBA

**Course Description:**

PHZ 6607 is the first semester of the introduction to relativity..
Outline of topics to be covered and approximate order includes:

- Special relativity
- Lorentz transformations, tensors, invariants
- kinematics and dynamics
- covariant physics: electromagnetism, hydrodynamics, stress-energy-momentum
- relativistic (classical) field theory

- Riemannian geometry
- spacetime metric, covariant derivatives, parallel transport, geodesics
- differential forms, exterior derivative, Lie derivative
- curvature: Riemann, Ricci, Einstein
- Killing vectors and symmetries

- General relativity
- Einstein field equations
- linearized theory, gauge transformations, Newtonian limit
- physics in curved spacetime
- some exact solutions – Schwarzchild geometry, Robertson-Walker cosmology

- Specialized Topics
- black holes: Schwarzschild, Reissner-Nordström, Kerr [-Newman]
- gravitational waves
- experimental tests
- relativistic astrophysics
- black hole thermodynamics, Hawking radiation
- cosmology

**Grading:**

Grades will be based on periodic homework sets, two of which
will be dignified as a take-home midterm
[**solution**]
[**distribution**]
and **final exam**,
due 6:00pm, Tuesday, December 13.
[**solution**]
[**distribution**]

**Text:**

- Sean Carroll,
*Spacetime and Geometry: An Introduction to General Relativity*(Addison-Wesley, 2003).

Online*Lecture Notes on General Relativity*. Preposterous Universe`@seanmcarroll`

**Other useful books:**

- Edwin F. Taylor and John Archibald Wheeler,
*Spacetime Physics*(W. H. Freeman, 1966). - Bernard F. Schutz [AEI/Cardiff]
*A first course in general relativity*(Cambridge University Press, 1990). w/ Solutions to some problems - James B. Hartle,
*Gravity: An Introduction to Einstein's General Relativity*(Addison-Wesley, 2003). [errata[ -
Charles W. Misner,
Kip S. Thorne,
and
John A. Wheeler,
*Gravitation*(W. H. Freeman, 1973). -
Steven Weinberg,
*Gravitation and Cosmology*(Wiley, 1972, 2008/9?). -
Robert M. Wald,
*General Relativity*(Univ. of Chicago, 1984). -
S. W. Hawking and
G. F. R. Ellis,
*The large scale structure of space-time*(Cambridge University Press, 1973). -
Clifford M. Will,
*Theory and experiment in gravitational physics*, revised edition (Cambridge University Press, 1993). -
Eric Poisson,
*A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics*(Cambridge Univ, 2004). - P. A. M. Dirac,
*General Theory of Relativity*[1975] (Princeton University Press, 1996). - Richard P. Feynman,
*Lectures on Gravitation*(Addison Wesley Longman, 1995). - L. D. Landau and E. M. Lifshitz,
*The Classical Theory of Fields*(Pergamon Press, 1975). -
Davison E. Soper,
*Classical Field Theory*(Wiley, 1976). -
Wolfgang Rindler,
*Essential Relativity*, Second Edition (Springer-Verlag, 1969, 1977).

——,*Relativity: Special, General, and Cosmological*(Oxford University Press, 2006). - I. R. Kenyon,
*General Relativity*(Oxford University Press, 1990). - Ray D'Inverno,
*Introducing Einstein's Relativity*(Oxford University Press, 1992). - Malcolm Lidvigsen,
*General Relativity: A Geometric Approach*, (Cambridge University Press, 1999). - Norbert Straumann,
*General Relativity, With Applications to Astrophysics*(Springer, 2004). - N. D. Birrell and
P. C. W. Davies,
*Quantum Fields in Curved Space*(Cambridge, 1982). - Sidney Coleman,
*Aspects of Symmetry*(Cambridge, 1985). Quantum Field Theory lectures - Howard Georgi,
*Lie Algebras in Particle Physics*(Westview, 1999). - Robert Hermann,
*Lie Groups for Physicists*(Benjamin, 1966).

Are There Any Good Books on Relativity Theory?

How many people understand Einstein's theory?

**Links:**

Albert Einstein Online

Andrew Hamilton's Relativity and Black Hole Links

Cliff Will's Experimental Gravity Page,
Confrontation between General Relativity and Experiment (2014)
(2006)

John Baez's Relativity Tutorial

Albert Stebbins's Gravitational Lensing of Wilson Hall

xkcd astr,
mond
rotation curves

* On the Means of Discovering the Distance,
Magnitude, &c. of the Fixed Stars, in Consequence of the Diminution
of the Velocity of Their Light, in Case Such a Diminution Should be Found
to Take Place in any of Them, and Such Other Data Should be Procured
from Observations, as Would be Farther Necessary for That Purpose*.
By the Rev. John Michell, B. D. F. R. S.
In a Letter to Henry Cavendish, Esq. F. R. S. and A. S.,
*Phil. Trans.* LXXIV (1784), pp.35–57.
SLD on the Rev. John Michell.

Twin paradox

Generators of Lorentz transformations

Tübingen at nearly the speed of light,
home,
color and brightness

Why do measurements of *G* vary so much?

Hairy Ball Theorem

Effective radial potential
[*L*²/*M*² = 10, 11, ..., 20],
photon effective potential
[*L*²/*M*² = 10, 20, ..., 100],

UCLA Galactic Center Group

Incompressible OV Star
[*p*(*r*),
*g _{tt}*(

RN effective potential

AJSH Journey into a black hole, explanations

GPS notes

*Measurement of the Solar Gravitational Deflection of Radio Waves
using Geodetic Very-Long-Baseline Interferometry Data, 1979–1999*,
S.S. Shapiro et al.,
*Phys. Rev. Lett.* **92**,
121101 (2004).

*A test of general relativity using radio links
with the Cassini spacecraft*, B. Bertotti, L. Iess, P. Tortora,
*Nature*, **425**,
374–376 (2003).

*Observations of Post-Newtonian Timing Effects
in the Binary Pulsar PSR 1913+16*, J.M. Weisberg and J.H. Taylor,
*Phys. Rev. Lett.* **15**, 1348 (1984).

*Stellar Orbits around the Galactic Center Black Hole*, A.M. Ghez et al.,
*Astrophys. J. Lett.* **620**, 744 (2004).

*Masses, Radii, and the Equation of State of Neutron Stars*,
F. Ozel and P. Freire,
*Ann. Rev. Astr. Ap.* **54**, 401 (2016).

*Energy Momentum Pseudo-Tensor of Relic Gravitational Wave
in Expanding Universe*, D. Su and Y. Zhang,
*Phys. Rev. D* **85** 104012 (2012).

*Observation of quantum Hawking radiation and its entanglement
in an analogue black hole*, J. Steinhauer,
*Nature Phys.* **12** 959 (2016).

**Homework:**

**Homework 1**. Due Friday September 2.**Solution****Homework 2**. Due Friday September 9.**Solution****Homework 3**. Due Friday September 23.**Solution****Homework 4**. Due Friday October 7.**Solution****Homework 5**. Due Friday October 14.**Solution****Homework 6**. Due Friday November 4.**Solution****Homework 7**. Due Friday November 18.**Solution****Midterm Exam**. Due 6:00pm, Friday October 21.**Solution****Final Exam**. Due 6:00pm, Tuesday, December 13.**Solution**

**University Policies:**
Students are expected to know and comply with
the University's policies regarding academic honesty
and use of copyrighted materials.
Cheating, plagiarism, or other violations of the Academic Honesty Guidelines
will not be tolerated and will be pursued through the University's
adjudication procedures.

*“Students requesting classroom accommodations
must first register with the Disabilities Resources Program, located in
the Dean of Students Office, P202 Peabody Hall.
The Disabilities Resources Program will provide documentation to
the student, who must then deliver this documentation to the instructor
when requesting accommodations.”*