A Short Course in General Relativity by James Foster, J. David Nightingale

By James Foster, J. David Nightingale

This textbook presents a great creation to a subject matter that's tremendous effortless to get slowed down in. I took a one semester path that used this article as an undergraduate, within which i assumed the booklet was once simply good, yet then whilst I took a gradute path that used Carroll's Spacetime and Geometry is whilst i actually got here to understand the practise this booklet gave me (not that Carroll's publication is undesirable, I simply would not suggest it for a primary reading). let alone the booklet is beautiful affordable so far as physics texts move.

Show description

Read or Download A Short Course in General Relativity PDF

Best gravity books

Gravitational curvature

Smooth differential geometry is more and more vital to theoretical physics and has functions in relativity and cosmology. This vintage textual content and reference monograph applies glossy differential geometry to common relativity, substituting general analytical computations on gravity with differential geometric arguments and derivations.

Gravitational Collapse and Spacetime Singularities

Actual phenomena in astrophysics and cosmology contain gravitational cave in in a basic method. the ultimate destiny of a huge celebrity while it collapses less than its personal gravity on the finish of its existence cycle is without doubt one of the most vital questions in gravitation thought and relativistic astrophysics, and is the basis of black gap physics.

Gravitation and Experiment: Poincaré Seminar 2006 (Progress in Mathematical Physics)

This publication bargains an in depth, pedagogical creation to common relativity. It incorporates a evaluate of what could lie past and collects up to date essays at the experimental exams of this idea, together with the best timing of the double pulsar J0737-3039. insurance additionally info the new result of the Gravity Probe B project.

Grundkurs Theoretische Physik 4/1: Spezielle Relativitätstheorie (Springer-Lehrbuch) (German Edition)

Die beliebte Lehrbuchreihe zur Theoretischen Physik deckt in sieben Bänden alle für den Bachelor-/Masterstudiengang maßgeblichen Gebiete ab. Jeder Band vermittelt intestine durchdacht das im jeweiligen Semester nötige theoretische-physikalische Rüstzeug. Zahlreiche Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffes.

Extra resources for A Short Course in General Relativity

Sample text

8u . 8u k) -l+-J+8u 8x 8y 8z V 'f'=- 8¢ (8V. 8v . 8v k) +-l+-J+8v ax 8y az 8¢ (8w. ow. aw k) +-l+-J+8w ax 8y 8z 8¢ 8¢ 8¢ = 8u V'u + 8v V'v + 8w V'w. 9). 41) showing th at the partial derivatives 8¢/ 8u i are th e components of V'¢ relat ive to th e dual basis {e'} . 41), we are regarding the suffix i on a¢/aui as a subscript. We can make this point more clearly by shortening the partial differential operator &f8ui to ai, so th at a¢/au i = ai¢' The notation ¢,i is also used to mean th e same thing.

We describe a type (0,2) tensor as skew-symmetric (or anti-symmetric) if its components satisfy Tab = -Tba' Again this is a coordina te-independent property, and the concept also extends to type (2,0) tensors . In fact , the idea of symmetry or skew symmet ry can be extended to refer to any pair of sup erscripts or subscripts of a type (r , s) t ensor. We finish this section with an explanat ion of how an association can be made between tensors of different types by contraction with the covari ant metric t ensor or the relat ed cont ravariant metric tensor .

In general, f is not in the same direction as the normal n to the element of area dS. As the notation suggests, at each point of the body we can look on r as a function that acts on a vector n to produce another vector r(n) which (in general) is not parallel to n . This function is assumed to act linearly, which means that for general vectors u, v and general scalars a , {3, r(au + {3v) = ar(u) + {3r(v) . A consequence of this assumption is that r can act on general vectors v and not just unit vectors n .

Download PDF sample

Rated 4.96 of 5 – based on 15 votes