INTRODUCTION:
You did not have to award a bounty, all you had to do is ask me to expand on my comment. I would have posted this answer.
To be honest, I thought that you found the line and solved your problem...
CONCRETE LINES:
Pay attention to the comments that go along with moves. You will see comments inside the textbox. Textbox is placed just below the PGN viewer (below the chess diagram ).
[Title "Kasparov's c3"]
[fen ""]
1.e4 e6 2.d4 d5 3.Nc3 dxe4 4.Nxe4 Nd7 5.Nf3 Ngf6 6.Nxf6+ Nxf6 7.c3 {White has aggressive ideas in mind, in view of Qa4, and if Black plays …c7-c5, White can try to pose some concrete problems with moves like Ne5, Bb5, Qa4 as well as 0-0-0} c5 {If Black wants to fully equalize, he has to play this move} (7...Be7 {White can press here for an advantage} 8.Bd3 O-O 9.Qe2 b6 10.Bf4! Bb7 11.O-O-O) 8.Ne5 a6 {Black must play this} 9.Be3 Qc7 10.Qa4+ Nd7 11.Bb5 {Most critical continuation} (11.O-O-O {Black is fine here} cxd4 12.Nxd7 Bxd7 13.Qxd4 Bc6! {Black’s bishop is actively placed on c6 and he is ready to follow up with …Rd8}) cxd4 12.Bxd7+ Bxd7 13.Qxd4 {Now the idea to attack d7 one more time with 0-0-0 is a little awkward, so Black has to do something about this.} f6 (13...Bb5 14.a4 Bd6 15.Nxf7 Kxf7 16.axb5 axb5 {Black has to play precisely and still suffers in the resulting endgame positions. Rubinstein expert Georg Meier prefers this line, but I have more faith in f6, that is why I chose it as a main move for Black}) 14.Nxd7 Qxd7 15.Qxd7+ Kxd7 16.O-O-O Kc7! {Black has difficult position but has also great chances to equalize}
SUMMARY:
The move 7.c3 after 5.Nf3 Ngf6 6.Nxf6+ Nxf6
was popularized by Gary Kasparov, and is in fact one of the most critical tests of the Rubinstein Defense!
White clears the way to a4
for his queen, possibly followed by queenside castling and other aggressive moves such as Ne5
or Bb5
.
In the critical line 7…c5! 8.Ne5 a6 9.Be3 Qc7 10.Qa4+ Nd7 11.Bb5 cxd4 12.Bxd7+ Bxd7 13.Qxd4
, Black has a difficult choice to make.
Georg Meier has favored the structurally compromising 13…Bb5 14.a4 Bd6 15.Nxf7 Kxf7 16.axb5 axb5
and kind of worked it out to a draw.
Black is still suffering a bit here in practice, and that is why I prefer 13…f6 14.Nxd7 Qxd7 15.Qxd7 Kxd7
, keeping the pawn-structure intact.
In both lines it is only White who can win, and Black has to play very precise in order to draw. From practical point of view, I believe this line is your best chance for playing for a win against Rubinstein French.
BOOK RECOMMENDATIONS:
I would get the French Defense The Solid Rubinstein Variation by Hannes Langrock, he did an excellent work in covering this line. It will help you grasp the ideas.
You might need additional resource to cover all the lines though... I think ECO C could be useful here...
Nxf6+
followed byc3
. It is very unpleasant to deal with, and gives you better endgame. I think Kasparov pioneered this plan...