Description of problem:

two libraries are marked as needing execstack, and this causes SELinux (in my case) to prevent tomcat6 from starting.

find /usr/lib -name \*.so\* -exec execstack -q {} \;  2>/dev/null | grep ^X
X /usr/lib/jvm/java-1.6.0-openjdk-1.6.0.0/jre/lib/i386/client/libjvm.so                                     
X /usr/lib/jvm/java-1.6.0-openjdk-1.6.0.0/jre/lib/i386/server/libjvm.so 

How reproducible:  (from fresh FC12 install I did this)
# yum tomcat6 install
# service tomcat6 start
# cat /var/log/tomcat6/catalina.out
----------------
dl failure on line 696Error: failed /usr/lib/jvm/java-1.6.0-openjdk-1.6.0.0/jre/lib/i386/client/libjvm.so, because /usr/lib/jvm/java-1.6.0-openjdk-1.6.0.0/jre/lib/i386/client/libjvm.so: cannot enable executable stack as shared object requires: Permission denied
--EOF-----------

Actual results
Tomcat not started

Expected results:
Normal startup

Additional info:
Running the command:
# execstack -c /usr/lib/jvm/java-1.6.0-openjdk-1.6.0.0/jre/lib/i386/client/libjvm.so
allows tomcat to startup normally.