Can I access the static variables of the 'Class' Object?

Yes. Just use Class.getDeclaredFields() (or Class.getDeclaredField(String)) as normal, and to get the values, use the Field.getXyz() methods, passing in null for the obj parameter.

Sample code:

import java.lang.reflect.Field;

class Foo {
    public static int bar;
}

class Test {
    public static void main(String[] args)
        throws IllegalAccessException, NoSuchFieldException {

        Field field = Foo.class.getDeclaredField("bar");
        System.out.println(field.getInt(null)); // 0
        Foo.bar = 10;
        System.out.println(field.getInt(null)); // 10
    }
}