Getting local hour with NodaTime

New to NodaTime and I chose to use it instead of the BCL libraries because it removes a lot of ambiguity when dealing with dates. However, I can't seem to get it to do what I want. I have a date and time specified by year, month, day, hours, and minutes. I also have two timezones for which I need to display the "clock time". For example, if my input is December 15, 2015 at 3:30 PM and my two timezones are central standard and eastern standard (one hour apart), I expect my output to be

12/15/2015 3:30 PM Central
12/15/2015 4:30 PM Eastern

But I can only seem to get the central (local to me, if that matters) timezone. Here's my code:

var localDateTime = new LocalDateTime(
            year: 2015,
            month: 12,
            day: 15,
            hour: 15,
            minute: 30,
            second: 0
            );

var centralTimeZone = DateTimeZoneProviders.Bcl.GetZoneOrNull("Central Standard Time");
var easternTimeZone = DateTimeZoneProviders.Bcl.GetZoneOrNull("Eastern Standard Time");

var centralTime = centralTimeZone.AtLeniently(localDateTime);
var easternTime = easternTimeZone.AtLeniently(localDateTime);

It seems that centralTime and easternTime are both ZonedDateTime objects whose times are 2015-12-10T15:30 with the correct offset i.e. centralTime is -6 and easternTime is -5.)

I just can't figure out how to get the output I want.