Post ID = Logged in user ID

Is there a way to automatically insert the current user ID as the post category name or maybe have WordPress display only the post with a category name that matches the current logged user ID?

<?php

    $query = new WP_Query('category_name=current-user-id');

    if($query->have_posts()) : while($query->have_posts()) : $query->the_post();

    ?> 

     <?php

       the_content( __('Read the rest of this page ?', 'template'));

      endwhile; endif;

     wp_reset_postdata();

?>