Contrary to what continuum says (he's usually spot on, though), it's quite normal for a HDMI to VGA adapter to be fairly warm. Ballpark figure for a HDMI to VGA decoder is around 200 mA at 5 volts.

His method utilized a modified HDMI-to-VGA adapter. From the looks of it, apps like music for Google Play, Pandora, and Music All Access seem to able to be streamed through this device.

An Apple spokesperson told The Verge that Lightning to HDMI and Lightning to VGA cables “will be available in the coming months.” by Sean Hollister Sep 13, 2012, 11:07 PM UTC ...

The all-new HDAiR wireless USB-to-VGA / HDMI adapter is essentially the same one as before, but this time audio is involved. In response to widespread demand for the feature, ...

I've used this HDMI to VGA adapter with good results. VGA to RGBHV cables are pretty common and not expensive unless you need insane lengths. ...