Using .htaccess to redirect domain.co.uk/index.html to www.domain.co.uk - apache

Question

I have noticed that search engines have been crawling both the domain.co.uk and www.domain.co.uk versions of a web site that I've recently developed.
Using .htaccess I have been able to setup http 301 redirects so that:
http://domain.co.uk is redirected to http://www.domain.co.uk
and
http://www.domain.co.uk/index.html is redirected to http://www.domain.co.uk
However:
http://domain.co.uk/index.html does not get redirected to http://www.domain.co.uk as I would expect. Instead the redirect goes to: http://www.domain.co.uk/http://www.domain.co.uk/
The contents of my .htaccess are (obviously I have replaced my domain to simplify matters):
Options +FollowSymlinks
RewriteEngine on
RewriteCond %{http_host} ^domain.co.uk [nc]
RewriteRule ^(.*)$ http://www.domain.co.uk/$1 [R=301,nc]
RewriteCond %{THE_REQUEST} ^.*/index.html
RewriteRule ^(.*)index.html$ http://www.domain.co.uk/$1 [R=301,L]
I know I am probably missing something obvious but please could someone help me get the final redirect to http://www.domain.co.uk working as expected?

Answer 1

The first part of your rule set is working fine, the missing www. is added correctly. For the second part you only need a simple rule to remove the index.html without using any additional condition:
Options +FollowSymlinks
RewriteEngine On
RewriteCond %{HTTP_HOST} ^domain.co.uk [NC]
RewriteRule ^(.*)$ http://www.domain.co.uk/$1 [R=301,NC]
RewriteRule ^index.html$ http://www.domain.co.uk/ [R=301,L]
I think this should do the trick.