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Viewing: PY 341 : Relativity, Gravitation and Cosmology

Last approved: Sat, 28 Mar 2015 09:17:16 GMT

Last edit: Sat, 28 Mar 2015 09:17:16 GMT

Catalog Pages referencing this course
Change Type
PY (Physics)
341
019046
Dual-Level Course
Cross-listed Course
No
Relativity, Gravitation and Cosmology
Relativity
College of Sciences
Physics (17PY)
Term Offering
Spring Only
Offered Every Year
Summer 1 2015
Previously taught as Special Topics?
No
 
Course Delivery
Face-to-Face (On Campus)

Grading Method
Graded with S/U option
3
16
Contact Hours
(Per Week)
Component TypeContact Hours
Lecture3.0
Course Attribute(s)


If your course includes any of the following competencies, check all that apply.
University Competencies

Course Is Repeatable for Credit
No
 
 
Albert Young
Professor

Open when course_delivery = campus OR course_delivery = blended OR course_delivery = flip
Enrollment ComponentPer SemesterPer SectionMultiple Sections?Comments
Lecture3030Non/a
Open when course_delivery = distance OR course_delivery = online OR course_delivery = remote
Prerequisite: C- or better in PY 203 or PY 407
Is the course required or an elective for a Curriculum?
Yes
SIS Program CodeProgram TitleRequired or Elective?
17PHYSMPhysics MinorElective
Introduction to relativity, gravitation and cosmology in accordance with Einstein's special and general theories of relativity. Flat spacetime: Minkowski metric, time dilation, length contraction, doppler effect, twin paradox, and space travel. Curved spacetime: Schwarzchild metric, black holes and event horizons, particle and light motion, Global positioning system, precession of planetary orbits. Cosmology: hubble law, expansion of the universe, Friedman-Robertson-Walker metric, big bang, cosmological redshift, dark matter and dark energy.

Over the last 25 years our understanding of the large and small scale structures of the universe has changed dramatically. New technologies, such as the global positioning system and gravitational wave detection, have emerged. These changes rely on Einstein's theory of general relativity. When PY341 was first developed, more than 30 years ago, the course focused exclusively on special relativity. Cosmology and black holes were mostly speculation, and the global positioning system did not exist. Today cosmology is a maturing field with precision data available to test predictions. Black holes play a vital role in a range of astrophysical phenomena including quasars and active galactic nuclei. GPS devices are in our phones and cars. A number of new textbooks are now available to provide an introduction to these topics, accessible to students with a thorough background in introductory level physics.


The new version of this course has been developed over the last several years and has proven popular with physics majors and engineering students.


No

Is this a GEP Course?
No
GEP Categories

Humanities Open when gep_category = HUM
Each course in the Humanities category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

Mathematical Sciences Open when gep_category = MATH
Each course in the Mathematial Sciences category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

Natural Sciences Open when gep_category = NATSCI
Each course in the Natural Sciences category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

Social Sciences Open when gep_category = SOCSCI
Each course in the Social Sciences category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

Interdisciplinary Perspectives Open when gep_category = INTERDISC
Each course in the Interdisciplinary Perspectives category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Visual & Performing Arts Open when gep_category = VPA
Each course in the Visual and Performing Arts category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
 

 
 

Health and Exercise Studies Open when gep_category = HES
Each course in the Health and Exercise Studies category of the General Education Program will provide instruction and guidance that help students to:
 
 

 
 

 
 

 
 

 
&
 

 
 

 
 

 
 

Global Knowledge Open when gep_category = GLOBAL
Each course in the Global Knowledge category of the General Education Program will provide instruction and guidance that help students to achieve objective #1 plus at least one of objectives 2, 3, and 4:
 
 

 
 

 
Please complete at least 1 of the following student objectives.
 

 
 

 
 

 
 

 
 

 
 

US Diversity Open when gep_category = USDIV
Each course in the US Diversity category of the General Education Program will provide instruction and guidance that help students to achieve at least 2 of the following objectives:
Please complete at least 2 of the following student objectives.
 
 

 
 

 
 

 
 

 
 

 
 

 
 

 
 

Requisites and Scheduling
 
a. If seats are restricted, describe the restrictions being applied.
 

 
b. Is this restriction listed in the course catalog description for the course?
 

 
List all course pre-requisites, co-requisites, and restrictive statements (ex: Jr standing; Chemistry majors only). If none, state none.
 

 
List any discipline specific background or skills that a student is expected to have prior to taking this course. If none, state none. (ex: ability to analyze historical text; prepare a lesson plan)
 

Additional Information
Complete the following 3 questions or attach a syllabus that includes this information. If a 400-level or dual level course, a syllabus is required.
 
Title and author of any required text or publications.
 

 
Major topics to be covered and required readings including laboratory and studio topics.
 

 
List any required field trips, out of class activities, and/or guest speakers.
 

n/a

Student Learning Outcomes

1. Calculate the time dilation and length contraction for moving obervers.


2. Identify the surfaces of simultaneity and light cones on a Minkowski diagram.


3. Transform momentum, velocity, electric and magnetic fields among observers.


4. Identify the line element for simple geometries.


5. Compute geodesics and curvature for a given line element.


6. Provide a physical description of the components of the energy-momentum tensor.


7. Define the Einstein tensor and Einstein's equations.


8. Derive the Newtonian limit of Einstein 's equations.


9. Identify the properties {asymptotic flatness, singularity, event horizon) of the Schwarschield spacetime.


10. Compute particle orbits, tidal effects, and light deflection for rotating black holes.

11. Calculate the orbital precession for Mercury.

12. Characterize the frame dragging effect and geodesic precession.

13. Compute the quadruople gravitational radiation from binary sources.

14. Apply the principles of cosmology to obtain the Robertson-Walker spacetime.

15. Derive the Friedmann equations and identify the Friedman-Robertson-Walker models.

16. Determine the cosmological red shift and expansion, and age of the Universe.


Evaluation MethodWeighting/Points for EachDetails
Homework27%10 homework sets
Multiple exams40%Two midterm tests, 20% each
Final Exam30%Final Exam
Attendance3%Attendance
TopicTime Devoted to Each TopicActivity
Special Relativity and Spacetime7 daysBasic concepts of special relativity, coordinate transformations, consequences of Lorentz transformations, Minkowski spacetime.
Special Relativity and Physical Laws7 daysInvariants and physical laws, laws of mechanics and electromagnetism.
Geometry and Curved Spacetime7 daysLine elements, differential geometry, metrics, connections, geodesics, curvature.
General Relativity and Gravitation9 daysEquivalence principle, general convariance, energy-momentum tensor, field equations, geodesic motion, cosmological constant, Newtonian limit.
Schwarzschild Spacetime9 daysSchwarzschild METRIC, spherical symmetry, asymptotic flatness, singularity, frames and observers, proper distance, proper time, geodesic motion.
Black Holes9 daysEvent horizons, classification of black holes, obervers, tidal effects, Kerr solution, Hawking radiation.
Tests of General Relativity10 daysPrecission of perihelion of Mercury, light deflection, time delay, frame dragging, LAGEOS sattelites, GPS system, gravitational lensing, gravitational waves and their detection.
Cosmology9 daysCosmology principle, Robertson-Walker metric, Friedmann equations, Friedmann-Robertson-Walker models, redshift and expansion, age of the Universe.
This course was approved by UCCC 11.19.2014. Because portions were approved as the old CAF, this form was filled out by OUCC, with syllabus, CAF, and consults attached. Approval memos sent via email to Registration & Records and college liaisons.

GMN 3.12.2013
Key: 7039