Question: I understand in Junit 4, @Before can be used to setup test fixtures for the test class's multiple test methods.

However, in my system, there are common test objects i would like to have available for all tests. 

What is the most appropriate name for these objects and what is a good best practice way to store them?

Answer: 
The best practice is to create them in the fixture so as to keep the tests **isolated**, unless their state is not changed by the tests (such as a logger). Otherwise one may have side-effects between the tests: one test failing because of another one, or the opposite.
Why not have an abstract BaseTest superclass that holds the common objects and initializes them, either in the constructor or a @BeforeClass method?