Same problem?
I have the same symptoms described in this thread, but on a relatively new 13 " rMBP (bought just under a year ago). I'm just posting this to add another data point for people searching for info on the problem.
Background. I bought a new 13" rMBP the end of last year with 16GB RAM and 1TB SSD. This is my portable for when I need something light to take places and I've only used it maybe 10 days since I bought it. It's kept in a case and has never had any spills or other damage.
Yesterday I got it out to update software. Powered it up and noticed the battery was showing 80% after about a month of being powered off which I thought quite good. I attached power to bring the battery to full charge and because I don't like doing OS updates without power attached. I first updated everything under Mavericks and a few applications including Microsoft Office. During this process I did two reboots with no problems and the battery was now reading 100% charged with the power connecter LED at solid green.
I then updated the OS to Yosemite. Everything went smoothly as far as I can tell and I then updated software that required Yosemite; Pages, Keynote etc. Then I started Parallels Desktop with the intention of updating the Windows 7 Pro install that I run virtually. Parallels pointed out that I should update to version 10 of Parallels Desktop for full compatibility with Yosemite. I duly downloaded, installed and registered this. No problems reported. Up to this point the machine had been running fine for a couple of hours.
As part of Parallels desktop, when a new version is installed it installs it's own driver software into the Windows VM. When I started Windows under Parallels it found the new drivers and started installing them. Halfway through this the machine crashed out and rebooted; screen went black followed by a restart chime. Note, not just a crash of the VM, the whole system rebooted spontaneously. I logged back in, restarted Parallels, went in to Windows and it resumed the driver install. This time the screen started corrupting and then another spontaneous reboot occurred.
This time however, when the grey apple appeared on the boot screen the background was covered in green snow. This lasted a few seconds and then the screen went black and is now in the state described in this thread. The power button is unresponsive and to all intents I have a dead machine. I've tried the SMC reset and holding down power and alt to no effect.
Fortunately I don't have any local data on the machine as everything important is accessed over the network. All I have lost is the time taken to install software. Also the machine is covered by Applecare for another 2 years+ so I can kick this back to Apple and let them sort it out. I'm just posting this in case other people have similar experiences. In particular I'm a bit suspicious about the two crashes whilst installing drivers inside the Parallels VM. Of course it could be completely coincidental, but I don't like coincidences. My understanding of that is that the VM should be completely sandboxed from the rest of the machine and should not be able to cause reboots like that.