If you are in an RDP you are not recognized as married for federal purposes. So you have to put the income on your own returns.
In a community property state like California, each member of an RDP will fill out federal form 8958 and split their income using the community property formula. That includes Social Security in California (in other states the state definition of community property is applied).
So, yes, you can split your social security (and any tax withheld) with your partner.
@yamavin
[Edited 02/18/23 01:53 PM]
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