Bulletin of the American Physical Society
2020 Annual Meeting of the APS Four Corners Section (Virtual)
Volume 65, Number 16
Friday–Saturday, October 23–24, 2020; Albuquerque, NM (Virtual)
Session B02: Gravitation / Cosmology ILive
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Chair: Cynthia Keeler, ASU |
Friday, October 23, 2020 10:30AM - 10:54AM Live |
B02.00001: Towards a general map from Navier-Stokes to Maxwell via Einstein Invited Speaker: Cynthia Keeler After a brief review of the cutoff-surface formulation of fluid-gravity duality, we explore the ``square root'' of the fluid-dual metrics via the classical-double copy, highlighting the constant vorticity flows and potential flows which have algebraically special Weyl double copy fields. We then present progress towards building the same map, from fluid solutions to gravitational solutions to Maxwell solutions, for generic fluids in 2+1 dimensions. This talk is based on JHEP 08 (2020) 147 published with ASU students Nikhil Monga and Tucker Manton, and forthcoming work. [Preview Abstract] |
Friday, October 23, 2020 10:54AM - 11:06AM Live |
B02.00002: Long-range scalar forces in five-dimensional general relativity L. L. Williams We report in the peculiar features and characteristics of a long range scalar field. These include how they might masquerade as gravity or electric force, how they cause acceleration of bodies at constant energy, how they can contribute to the ``clothed" gravitating mass of a planet, and how they are interpreted as a variable gravitational constant. Our framework for investigation is the classical Kaluza theory that unites tensor gravity, vector electromagnetism, and an unidentified scalar potential. We present the first reports of the value of scalar charge in this theory, and the associated scalar potential. A new, third characteristic lengthscale for the electro-gravitic fields of a body of mass $M$ and charge $Q$ is identified, $\mu_0 Q^2/M$, to go along with the Reissner-Nordstrom lengthscales, $GM/c^2$ and $Q\sqrt{G\mu_0 /c^2}$. With reasonable assumptions about the source terms in this theory, it seems to imply unrealistically large buoyancy forces for charged bodies interacting with the scalar field clothing planetary masses. This could be the first falsifiable prediction of the Kaluza theory since it was introduced a century ago. [Preview Abstract] |
Friday, October 23, 2020 11:06AM - 11:18AM Live |
B02.00003: Investigation into Length Scale Dominance in Critical Black Hole Formation Cole Kelson-Packer, John Belz The critical formation of low-mass black holes is a historical cornerstone of numerical General Relativity, with important implications in cosmology for censorship conjectures and the production of primordial black holes. Concurrent with the surge in black hole observational physics in recent years has been an increased interest in these subjects. Critical formation is often suggested as a mechanism for primordial black hole production, but it is possible that the coexistence of different critical processes accompanying more realistic scenarios may affect this conclusion. The presenters have numerically investigated, as a toy model, the interplay of multiple near-critical fields in the collapse of spherically symmetric scalar field configurations. The presenters have found that a combination of type I and type II near-critical fields exhibits competition between their respective critical evolutions. This presentation summarizes the history and underlying techniques going into the investigation, discusses its results, and proposes a heuristic explanation for the phenomena observed employing ideas from the theory of dynamical systems. [Preview Abstract] |
Friday, October 23, 2020 11:18AM - 11:30AM Live |
B02.00004: Induced Electric Charge by the Scalar Field in 5D General Relativity Yaroslav Balytskyi, Lance Williams, Elliott Simons, Anatoliy Pinchuk The Higgs boson discovered in 2013 makes the Standard Model complete and the search for the New Physics becomes the question of paramount importance in Physics. One of the most promising directions is the idea of extra dimensions. In 1921, Kaluza published a hypothesis that General Relativity and Electromagnetism can be unified as General Relativity extended to five dimensions. If such an extension takes place, inevitably an additional scalar degree of freedom arises. It was shown recently that this long-range Kaluza scalar field leads to force effects which can be measurable in the laboratory settings. In our work, we show that in addition to these force effects, the same Kaluza scalar field acts as an effective dielectric permittivity of the space and its inhomogeneity effectively leads to induction of an electric charge which can be also measurable in the laboratory settings. In the talk, we will discuss the properties of this effective charge as well as possible experimental setup for its search. While there is an program at the Large Hadron Collider (LHC) for the search of extra dimensions, the experimental setup which we propose can be a complement to this program and probe such kind of the New Physics. [Preview Abstract] |
Friday, October 23, 2020 11:30AM - 11:42AM Live |
B02.00005: Emergence of Classical Black Hole Thermodynamics using Monodromic Analysis Alex Chanson We exhibit the asymptotic solutions of the Klein-Gordon field in the near-horizon geometry of various Black Holes and show, in the thermodynamic limit, the emergence of the 2nd Law of Black Hole Thermodynamics. We find that the monodromies around the singular points in the Klein-Gordon field are exactly the infinitesimal, classical Bekenstein-Hawking entropy. By utilizing known properties of monodromies, namely the Fuchs relation, we suggest a classical thermodynamic relationship between regular and Cauchy horizons. Indeed, the Fuchs relation between horizon monodromies has been shown to hold in a wide array of known black hole solutions. The only anomalous cases found are the asymptotically flat, d=4 solutions, where the Fuchs relation includes a monodromy at spacial infinity. By analyzing their AdS counterparts, we show how, in the flat-limit, the bifucation-horizon monodromies auto-normalize to the asymptotically flat monodromy at spacial infinity. This method suggests that analyzing the Cauchy horizons may provide insight into the limiting behavior of black hole geometries. [Preview Abstract] |
Friday, October 23, 2020 11:42AM - 11:54AM |
B02.00006: Study on the Lagrangian Points and Gravitational Perturbations Using Astronomical Dynamics and Computer Analysis Richard Kyung, Ivy Liang In celestial mechanics, the Lagrangian points are located by the physical and geometrical properties of the two large orbiting bodies. In this research, asteroids trapped in L4 and L5 locations on the orbits of planets were observed and analyzed to determine whether the Trojan asteroids maintain or deviate their positions in relation to the two large rotating bodies. Lagrange points, stabilities, and the motions around such points were studied for the three-body problem in astronomical mechanics. Furthermore, based on the equations of motion, including the accelerations and velocities of the planets and asteroids around Lagrange points, simulations of the orbit of the Trojan asteroids system were performed using computer analysis. The 2D and 3D displays were obtained in either inertial frame or rotating frame. Modifications of the parameters and initialization were altered to create comparisons between the outputs of trajectories for different cases. [Preview Abstract] |
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