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There is no specific template for child pages, but you can do this pretty easily with the get_template_part() function.

First create a file called "content-child.php".

Second create a file called "content.php".

Next, inside of page.php, place this:

<?php
  if( $post->post_parent !== 0 ) {
      get_template_part('content', 'child');
  } else {
      get_template_part('content');
  }
?>

Anything that you want displayed on a child page will be placed inside of content-child.php. Anything you want displayed on non-child pages will be placed in content.php.