Relativity — Library Silo
Relativity comes in two layers. Special relativity (Einstein 1905) describes physics in inertial frames where the speed of light is the same for all observers, giving time dilation, length contraction, and E = mc². General relativity (Einstein 1915) extends the principle to accelerated frames and gravity, modelling gravity as the curvature of spacetime governed by the field equations Gμν = (8πG/c4) Tμν.
Empirical tests range from atomic-clock GPS corrections (+38 µs/day) and Mercury's perihelion precession to the LIGO gravitational-wave detections (2015 onward) and the Event Horizon Telescope's direct images of M87* (2019) and Sgr A* (2022).
Recent research on this topic from arXiv
Preprints and papers indexed on arXiv.org. Links open the public abstract pages.
- Standing waves in general relativity
Sebastian J. Szybka, Adam Cieślik · 2019 ·arXiv:1901.10285v2
We propose a covariant definition of standing gravitational waves in general relativity. - General Relativity Today
Thibault Damour · 2007 ·arXiv:0704.0754v1
After recalling the conceptual foundations and the basic structure of general relativity, we review some of its main modern developments (apart from cosmology) : (i) the post-Newtonian limit and weak-field tests in the solar system, (ii) st... - Analyzing Gravitational Waves with General Relativity
Luc Blanchet · 2019 ·arXiv:1902.09801v1
After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent d... - Testing General Relativity with Gravitational Waves
Zack Carson, Kent Yagi · 2020 ·arXiv:2011.02938v3
Gravitational-wave sources offer us unique testbeds for probing strong-field, dynamical and nonlinear aspects of gravity. In this chapter, we give a brief overview of the current status and future prospects of testing General Relativity wit...