First you have to understand that a Unix Timestamp has nothing to do with timezones, it is always relative to UTC/GMT. To quote from the manual
Returns the current time measured in the number of seconds since the Unix Epoch (January 1 1970 00:00:00 GMT).
Now that you know one timestamp represents a fixed time in reference to GMT/UTC you can go ahead and change time zones in your code to calculate time for them form the same timestamp.
Let us say you have a unix timestamp
$ts = 1171502725;
If you create a date from it you would do something like
$date = new DateTime("@$ts");
echo $date->format('U = Y-m-d H:i:s T') . "\n";
Now you want to see what does that correspond to in EST, you can do
$date->setTimezone(new DateTimeZone('America/New_York'));
echo $date->format('U = Y-m-d H:i:s T') . "\n";
Similarly for CST
$date->setTimezone(new DateTimeZone('America/Chicago'));
echo $date->format('U = Y-m-d H:i:s T') . "\n";
And so on :)
Output
1171502725 = 2007-02-15 01:25:25 GMT+0000
1171502725 = 2007-02-14 20:25:25 EST
1171502725 = 2007-02-14 19:25:25 CST
Fiddle
You can get a list of supported timezones and their identifiers from the PHP Manual