In Python, you can perform arithmetic operations on datetime objects to add or subtract time intervals. However, when dealing with timezone-aware datetime objects, it is important to take time zones into account when performing arithmetic operations.

Fortunately, the Python datetime module and the pytz library provide functions for performing timezone-aware arithmetic operations. Here's an example:

import datetime
import pytz
 
# create a datetime object with a timezone
dt1 = datetime.datetime(2022, 3, 15, 12, 0, 0, tzinfo=pytz.UTC)
 
# add 1 day to the datetime object
dt2 = dt1 + datetime.timedelta(days=1)
 
# subtract 1 hour from the datetime object
dt3 = dt1 - datetime.timedelta(hours=1)
 
# print the results
print(dt1)
print(dt2)
print(dt3)

In this example, we create a datetime object dt1 with the UTC timezone. We then add 1 day to dt1 using the datetime.timedelta() function to create a time interval of 1 day. We store the result in dt2.

We also subtract 1 hour from dt1 using the datetime.timedelta() function to create a time interval of 1 hour. We store the result in dt3.

Finally, we print the results to the console to see the updated datetime objects.

Note that when performing arithmetic operations on timezone-aware datetime objects, you need to ensure that the resulting datetime object is still timezone-aware. In the example above, dt2 and dt3 are both still timezone-aware because dt1 was timezone-aware to begin with. If dt1 had been a naive datetime object (i.e. without a timezone), the resulting dt2 and dt3 would also be naive datetime objects.

To avoid these issues, it is recommended to always work with timezone-aware datetime objects when dealing with time zones.