yukterez physics

Black hole spin: a=0.9, charge: ℧=0.4 (in natural units of G=M=c=k=1). Radial velocity (relative to a local ZAMO): -v_esc=-√[((a²+r²)(℧²-2r))/(a² sin[θ]²(a²+(r-2)r+℧²)-(a²+r²)²)] (free falling from infinity), start position: r=4, black hole inclination: θ=80°. The inclination of the milky way background is 45° relative to the black hole and 35° relative to the observer. The equatorial accretion disk has inner and outer radii rᵢ=isco=1.577, rₐ=7. 1: equirectangular 360°x180° full panorama, 2: stereographic front and rear view. Better quality at https://bit.ly/2F8IvMk (Dropbox), https://bit.ly/3jJksT0 (Google Drive) and https://vimeo.com/456749218 (Vimeo). The raytracer uses Doran Raindrop coordinates, for more details see http://kerr.newman.yukterez.net (equations and codes).

Photon, charged & neutral particle orbits around a rotating and charged body Left: projection to the x,z and right: the x,y plane, natural units in G=M=c=kB=1 The circling dot with the dashed trail is a ZAMO at the particle's start position a is the central body's spin parameter, ℧ its charge and q the particle's charge The horizon and ergosphere color code is as in https://tinyurl.com/2p9a5y4h The conserved quantities are E total, L axial aka Lz and the Carter constant Q Local velocities at the bottom of the numeric display are relative to ZAMOs Metric: Kerr Newman, http://scholarpedia.org/article/Kerr-Newman_metric Coordinates: Boyer Lindquist cartesian projection, http://shorturl.at/nrHY5 Code, more examples and explanations at http://kerr.newman.yukterez.net Higher quality version (1GB QuickTime Format) at https://f.yukterez.net/kn Soundtrack: Kvltgang↵RetroRebel+L0ki→Kvltspeed, https://bit.ly/3HNloSF More stuff on special and general relativity: https://www.yukterez.net

Evolution of the universe in the FLRW/ΛCDM cosmology in proper and comoving distance coordinates by t and a Ωr=9.2136e-5, Ωm=0.315, ΩΛ=1-Ωr-Ωm, H0=67.150 Ωr: radiation incl. neutrinos, Ωm: matter incl. dark matter, ΩΛ: dark energy (density proportions, by critical density) Units: time in Gyr, distances in Glyr H and ȧ in km/s/Mpc Green: particle horizon, Purple: event horizon, Blue: Hubble radius, Orange: past light cone, Dashed orange: future light cone, Light gray: comoving world lines This plot shows the modern particle horizon depiction, see explanation: https://arxiv.org/pdf/astro-ph/0310808.pdf#page=11 https://www.youtube.com/watch?v=MoZZvUCSae8&t=3011s Animation by Simon Tyran, Vienna (Yukterez), CC BY 4.0 Main site: http://flrw.yukterez.net

In the animation the M:H ratio changes until the Nariai limit is reached. Hubble constant=H, cosmological constant=Λ, black hole mass=M, spin=a, electric charge=℧. The numeric display is in natural dimensionless units of G=c=kε=1. The radii in the numeric display are in the equatorial plane (if a complex value is displayed there is no solution for it on the equator, but there might be some near the poles). Equations & code for this and other general relativity metrics @ http://relativity.yukterez.net/knds-r.html#9 (by Simon Tyran) and a related video (by James Mcinerney) @ https://www.youtube.com/watch?v=lc70u1aWP8w also see this conference (by Leonard Susskind) on the Nariai limit @ https://www.youtube.com/watch?v=asJYkCQ8uJU&t=2307s