removing www and index.php from url in symfony - apache

Question

I've been searching for like 3 or 4 hours without any result(before searching I played with rules for an hour but couldn't do it)
I don't know if you've noticed or no but google uses www like this
when it has no subdomain it will be www.google.com/blabla and
when there is a subdomain it will be earth.google.com/blabla
This is the first part
And the second part, as you know in symfony urls are like domain.com/index.php/test and thanks to the symfony .htaccess file you can access it via domain.com/test
So here is what I tried so hard to achieve
domain.com/test redirect to www.domain.com/test
www.sub.domain.com/blabla redirect to sub.domain.com/blabla
www.sub.domain.com/ redirect to sub.domain.com (without any index.php XD)
One of the annoying problems I had was redirecting from domain.com/ to www.domain.com was that after redirect it was like www.domain.com/index.php (And I hate index.php :P)
So is there any way with one redirect solve this problem?
I'm sure I'm not the only one who needs something like this and might be an idea for other people who are going to have their site with symfony or other frameworks
Thanks
Here is my complete htaccess file
Options +FollowSymLinks +ExecCGI
<IfModule mod_rewrite.c>
RewriteEngine On
# The admin subdomain returns to the backend
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{HTTP_HOST} ^admin\.mydomain\..*
RewriteRule ^(.*)$ backend.php [QSA,L]
# uncomment the following line, if you are having trouble
# getting no_script_name to work
#RewriteBase /
RewriteCond %{HTTP_HOST} !^www.mydomain.com$
RewriteRule ^(.*)$ http://www.mydomain.com/$1 [R=301]
# we skip all files with .something
RewriteCond %{REQUEST_URI} \..+$
RewriteCond %{REQUEST_URI} !\.html$
RewriteRule .* - [L]
# we check if the .html version is here (caching)
RewriteRule ^$ index.html [QSA]
RewriteRule ^([^.]+)$ $1.html [QSA]
RewriteCond %{REQUEST_FILENAME} !-f
# no, so we redirect to our front web controller
RewriteRule ^(.*)$ index.php [QSA,L]
</IfModule>

Answer 1

In your VHOST config:
RewriteCond %{HTTP_HOST} ^www.domain.com$ [NC]
RewriteRule ^/(.*) http://domain.com/$1 [R=301,L]
Also note that from a esthetical point of view you might prefer to remove the www., looking from the technical angle (DNS, cookies, ...), it is always better to prefix with www., and redirect in the opposite way.