Exhibit 24

                                  POWER OF ATTORNEY

            Know all by these presents, that the undersigned hereby constitutes
and appoints Neena Reddy, Victor Lopez, Mark Nixdorf, Alan Kirshenbaum, Bryan
Cole and Jonathan Lamm, signing singly and with full power of substitution, the
undersigned's true and lawful attorney-in-fact to:

      (1)   prepare, execute in the undersigned's name and on the undersigned's
            behalf, and submit to the U.S. Securities and Exchange Commission
            (the "SEC") a Form ID, including amendments thereto, and any other
            documents necessary or appropriate to obtain codes and passwords
            enabling the undersigned to make electronic filings with the SEC of
            reports required by Section 16(a) of the Securities Exchange Act of
            1934, as amended (the "Exchange Act"), or any rule or regulation of
            the SEC;

      (2)   execute for and on behalf of the undersigned, in the undersigned's
            capacity as an officer and/or director of Owl Rock Capital
            Corporation, Owl Rock Capital Corporation II, Owl Rock Capital
            Corporation III, Owl Rock Technology Finance Corp., and Owl Rock
            Core Income Corp. (collectively, the "Companies"), Forms 3, 4, and 5
            in accordance with Section 16(a) of the Exchange Act and the rules
            thereunder, and any other forms or reports the undersigned may be
            required to file in connection with the undersigned's ownership,
            acquisition, or disposition of securities of any of the Companies;

      (3)   do and perform any and all acts for and on behalf of the undersigned
            which may be necessary or desirable to complete and execute any such
            Form 3, 4, or 5, any amendment or amendments thereto, or any other
            form or report, and timely file such form or report with the SEC and
            any stock exchange or similar authority; and

      (4)   take any other action of any type whatsoever in connection with the
            foregoing which, in the opinion of such attorney-in-fact, may be of
            benefit to, in the best interest of, or legally required by, the
            undersigned, it being understood that the documents executed by such
            attorney-in-fact on behalf of the undersigned pursuant to this Power
            of Attorney shall be in such form and shall contain such terms and
            conditions as such attorney-in-fact may approve in such attorney-in-
            fact's discretion.

      The undersigned hereby grants to such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary, or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorney-in-fact, in
serving in such capacity at the request of the undersigned, is not assuming, nor
are the Companies assuming, any of the undersigned's responsibilities to comply
with Section 16 of the Exchange Act.

      This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, and 5 with respect to the
undersigned's holdings of and transactions in securities issued by any of the
Companies, unless earlier revoked by the undersigned in a signed writing
delivered to the foregoing attorney-in-fact.

      IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 24th day of August, 2021.

                                        /s/ Matthew Swatt
                                        ---------------------------------
                                        Matthew Swatt