I have a Raspberry Pi 4 with Raspberry Pi OS Lite (64-bit) installed. I switch it on with Ethernet cable connected, and it doesn't appear on the router's hostname list.
I don't have an SD card if that helps. It's only reading an external hard drive (and a USB that I recently imported). I have tried to restart the router and try again. I've also tried to remove the recently added USB and try again.
I started having this issue a little after I connect the USB (which is an empty one). I neither know if that helps.
Connection to the available hostnames with ssh fails, and that's reasonable because neither of those is raspberry pi.
Edit: These are the last lines from syslog
:
Dec 11 23:08:44 raspibolt systemd[1]: Stopping Session 4 of user admin.
Dec 11 23:08:44 raspibolt systemd[1]: Removed slice system-modprobe.slice.
Dec 11 23:08:44 raspibolt Tor[634]: Interrupt: exiting cleanly.
Dec 11 23:08:44 raspibolt systemd[1]: Stopped target Multi-User System.
Dec 11 23:08:45 raspibolt systemd[1]: Stopped target Login Prompts.
Dec 11 23:08:45 raspibolt ModemManager[585]: <info> caught signal, shutting down...
Second edit: I plugged an HDMI to see what's going on. This is what it returned: https://i.ibb.co/rZNHsV5/image.png