Per IRS Publication 17 Your Federal Income Tax (For Individuals), page 21:
Married Filing Separately
You can choose married filing separately as your filing status if you are married. This filing status may benefit you if you want to be responsible only for your own tax or if it results in less tax than filing a joint return.
Special Rules
If you choose married filing separately as your filing status, the following special rules apply. Because of these special rules, you usually pay more tax on a separate return than if you use another filing status you qualify for.