Sgr A* and General Relativity

TL;DR

This paper reviews how observations of Sagittarius A* can be used to test the predictions of general relativity, especially the Kerr metric, in the strong gravitational field near a supermassive black hole.

Contribution

It discusses current and future observational strategies across multiple wavelengths to test the Kerr nature of Sgr A* and the validity of the no-hair theorem.

Findings

Potential to measure orbital precessions of stars around Sgr A*

Detection of residuals in pulsar timing due to black hole moments

Imaging of the black hole shadow with the Event Horizon Telescope

Abstract

General relativity has been widely tested in weak gravitational fields but still stands largely untested in the strong-field regime. According to the no-hair theorem, black holes in general relativity depend only on their masses and spins and are described by the Kerr metric. Mass and spin are the first two multipole moments of the Kerr spacetime and completely determine all higher-order moments. The no-hair theorem and, hence, general relativity can be tested by measuring potential deviations from the Kerr metric affecting such higher-order moments. Sagittarius A* (Sgr A*) is a prime target for precision tests of general relativity with several experiments across the electromagnetic spectrum. First, near-infrared (NIR) monitoring of stars orbiting around Sgr A* with current and new instruments is expected to resolve their orbital precessions. Second, timing observations of radio pulsars near the Galactic center may detect characteristic residuals induced by the spin and quadrupole moment of Sgr A*. Third, the Event Horizon Telescope, a global network of mm and sub-mm telescopes, aims to study Sgr A* on horizon scales and to image its shadow cast against the surrounding accretion flow using very-long baseline interferometric (VLBI) techniques. Both NIR and VLBI observations may also detect quasiperiodic variability of the emission from the accretion flow of Sgr A*. In this review, I discuss our current understanding of the spacetime of Sgr A* and the prospects of NIR, timing, and VLBI observations to test its Kerr nature in the near future. [abridged]