<div class="container">

  <ul class="nav nav-pills nav-stacked">
    <li><a href="#lightbox" data-toggle="modal">Open Lightbox</a></li>
    <li><a href="#lightbox" data-toggle="modal" data-slide-to="1">2nd Image</a></li>
    <li><a href="#lightbox" data-toggle="modal" data-slide-to="2">3rd Image</a></li>
    <li><a href="#lightbox" data-toggle="modal" data-slide-to="15">Open non existing Image</a></li>
  </ul>
  
  <div class="modal fade and carousel slide" id="lightbox">
    <div class="modal-dialog">
      <div class="modal-content">
        <div class="modal-body">
          <ol class="carousel-indicators">
            <li data-target="#lightbox" data-slide-to="0" class="active"></li>
            <li data-target="#lightbox" data-slide-to="1"></li>
            <li data-target="#lightbox" data-slide-to="2"></li>
          </ol>
          <div class="carousel-inner">
            <div class="item active">
              <img src="http://placehold.it/900x500/777/" alt="First slide">
            </div>
            <div class="item">
              <img src="http://placehold.it/900x500/666/" alt="Second slide">
            </div>
            <div class="item">
              <img src="http://placehold.it/900x500/555/" alt="Third slide">
              <div class="carousel-caption"><p>even with captions...</p></div>
            </div>
          </div><!-- /.carousel-inner -->
          <a class="left carousel-control" href="#lightbox" role="button" data-slide="prev">
            <span class="glyphicon glyphicon-chevron-left"></span>
          </a>
          <a class="right carousel-control" href="#lightbox" role="button" data-slide="next">
            <span class="glyphicon glyphicon-chevron-right"></span>
          </a>
        </div><!-- /.modal-body -->
      </div><!-- /.modal-content -->
    </div><!-- /.modal-dialog -->
  </div><!-- /.modal -->

</div><!-- /.container -->

.modal.and.carousel {
  position: fixed; // Needed because the carousel overrides the position property
}