Notes on thermodynamics in special relativity

Thermodynamics Meets Special Relativity – or What Is Real in Physics?

In this paper we carefully reexamine the various framworks existing in the field of relativistic thermodynamics. We scrutinize in particular the different conceptual foundations of notions like the relativistic work, heat force, moving heat and relativistic temperature. As to the latter notion we argue that, as in ordinary thermodynamics, relativistic absolute temperature should be introduced o...

Lecture Notes on General Relativity

These notes represent approximately one semester’s worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein’s equations, and three applications: gravitational radiation, black holes, and cosmology. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/not...

Lecture Notes on General Relativity

Thermodynamics and Relativity

1. Introduction. We have met to do honor to the memory of Josiah Willard Gibbs. By the labors of this master, the classical principles of thermodynamics were given their most complete and comprehensive expression. As the subject for the tenth memorial lecture, it seems appropriate to discuss the extensions to these classical principles which have since been made necessary by Einstein's discover...

Notes on perturbation methods in general relativity

Perturbation analysis provides the framework for an understanding of the effects of a small mass moving through a “background” spacetime. The analysis begins with a background spacetime metric gab which is usually a vacuum solution of the Einstein equations Gab(g) = 0. An object of small mass μ then disturbs the geometry by an amount hab = O(μ) which is governed by the perturbed Einstein equati...