IIRC, the solent stay is often a removable stay that is used under specific circumstances, like flying a storm staysail. Unlike the inner forestay on a cutter, the solent stay is attached to the mast very close to where the normal forestay attaches, to avoid the need for running backstays. It often connects to the deck using something like a highfield lever, to allow it to be connected and tensioned relatively easily. The primary purpose of a solent stay is to allow a roller furled headsail to be furled and a proper storm staysail to be easily deployed in heavy weather. Since the solent stay is further aft, it will tend to bring the Center of Effort further aft, helping keep the boat better balanced in strong winds.
On a cutter, the mast is usually a bit further aft and a bit shorter, and both the inner and outer forestays are permanent fixtures. The inner forestay also attaches to the mast considerably lower than the outer forestay.
Here is a photo of a Solent stay and highfield lever from s/v Sarah's website.

__________________
Sailingdog
Telstar 28
New England
You know what the first rule of sailing is? ...Love. You can learn all the math in the 'verse, but you take
a boat to the sea you don't love, she'll shake you off just as sure as the turning of the worlds. Love keeps
her going when she oughta fall down, tells you she's hurting 'fore she keens. Makes her a home.
—Cpt. Mal Reynolds, Serenity (edited)
If you're new to the Sailnet Forums... please read this
POST.
Still—DON'T READ THAT POST AGAIN.