If for some reasons you want to turn you display in black and white mode and you can't control this on your display (typically a laptop display won't allow you to change this), there are solutions.
The best way I found is to use a compositor, fortunately I'm already using "picom" as a compositor along with fvwm2 because I found the windows are getting drawn faster when I switch between desktop with the compositor on. You will want to run the compositor in your ~/.xsession file before running your window manager.
The idea is to run picom with a shader that will turn the color into a gray scale, restart picom with no parameter if you want to get colors back.
picom -b --backend glx --glx-fshader-win "uniform sampler2D tex; uniform float opacity; void main() { vec4 c = texture2D(tex, gl_TexCoord[0].xy); float y = dot(c.rgb, vec3(0.2126, 0.7152, 0.0722)); gl_FragColor = opacity*vec4(y, y, y, c.a); }"
It was surprisingly complicated to find how to do that. I stumbled on "toggle-monitor-grayscale" project on github which is a long script to automate this depending on your graphic card, I only took the part I needed for picom.
toggle-monitor-grayscale project on Github
I have no idea why someone would like to turn the screen in black and white, but I've been curious to see how it would look like and if it would be nicer for the eyes, it's an interesting experience I have to admit but I prefer to keep my colors.