Conveners
Exact Solutions (Including Higher Dimensions): Block 1
- Susan Scott (The Australian National University)
Description
In this session we will consider physical aspects of exact solutions of Einstein's equation and higher dimensional theories. This will include all issues related to the global structure of these solutions, the physical interpretation of the solutions and the analysis of their physical properties including symmetries and singularity structure.
The null-surface formulation (NSF) of general relativity is equivalent to standard general relativity but uses families of null surfaces rather than the metric or a connection. The NSF can be constructed in dimension 3+1, in any dimension higher, and also in dimension 2+1, which is a special case: In 2+1 dimensions, the main NSF field equation is equivalent to Cartan’s metricity condition. The...
The phenomena of standing waves is well known in mechanical and electromagnetic setting where the wave has the maximum and minimum amplitude at the antinodes and nodes, respectively. In the context of the exact solution to Einstein Field equations, we analyze a spacetime which represents standing gravitational waves in an expanding Universe. The study the motion of free masses subject to the...
The properties of interior spacetimes sourced by stationary cylindrical anisotropic fluids are analytically studied for both nonrigid and rigid rotation. The gravito-electromagnetic features of different classes of such GR solutions are described. Their regularity conditions and those for their junction to a vacuum exterior are provided. A new class of rigidly rotating exact solutions to...
We construct from first principles the geometry of an analytic, exponentially localized five-dimensional brane-world black hole. The black-hole singularity lies entirely on the 3-brane, while the event horizon is shown to have a pancake shape. The induced line-element on the brane assumes the form of the Schwarzschild solution while the bulk geometry is effectively AdS$_5$ outside the horizon....
Understanding gravitational wave memory effects for exact radiative solutions in General Relativity (GR) have received considerable attention lately, following the work of Zhang, Duval, Gibbons and Horvathy (PRD, 2017). In principle, one can arrive at these effects by studying the separation of pairs of geodesics in such spacetimes. Radiative geometries such as Kundt waves have shown to...
Using the algorithm proposed to map solutions of General Relativity (GR) into Ricci-Based Gravity theories, we extend the search for scalar configurations in quadratic gravity theories with curvature dependence in both Ricci scalar, $R$, and Ricci-squared scalar, $Q=R_{\mu\nu}R^{\mu\nu}$. We describe the general method to map a scalar configuration of GR into $f(R,Q)$, and illustrate this...
