We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald’s formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in the background of stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black holes.
{ "_oai": { "updated": "2023-08-24T00:32:25Z", "id": "oai:repo.scoap3.org:77764", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Spain", "value": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC, C/ Nicol\u00e1s Cabrera, 13\u201315, C.U. Cantoblanco, Madrid, E-28049, Spain", "organization": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC" }, { "country": "Chile", "value": "Instituto de F\u00edsica, Pontificia Universidad Cat\u00f3lica de Valpara\u00edso, Av. Brasil, Valpara\u00edso, 2950, Chile", "organization": "Pontificia Universidad Cat\u00f3lica de Valpara\u00edso" } ], "surname": "Ballesteros", "email": "romina.ballesteros@estudiante.uam.es", "full_name": "Ballesteros, Romina", "given_names": "Romina" }, { "affiliations": [ { "country": "Spain", "value": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC, C/ Nicol\u00e1s Cabrera, 13\u201315, C.U. Cantoblanco, Madrid, E-28049, Spain", "organization": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC" } ], "surname": "G\u00f3mez-Fayr\u00e9n", "email": "carmen.gomez-fayren@estudiante.uam.es", "full_name": "G\u00f3mez-Fayr\u00e9n, Carmen", "given_names": "Carmen" }, { "affiliations": [ { "country": "Spain", "value": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC, C/ Nicol\u00e1s Cabrera, 13\u201315, C.U. Cantoblanco, Madrid, E-28049, Spain", "organization": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC" } ], "surname": "Ort\u00edn", "email": "tomas.ortin@csic.es", "full_name": "Ort\u00edn, Tom\u00e1s", "given_names": "Tom\u00e1s" }, { "affiliations": [ { "country": "Spain", "value": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC, C/ Nicol\u00e1s Cabrera, 13\u201315, C.U. Cantoblanco, Madrid, E-28049, Spain", "organization": "Instituto de F\u00edsica Te\u00f3rica UAM/CSIC" } ], "surname": "Zatti", "email": "matteo.zatti@estudiante.uam.es", "full_name": "Zatti, Matteo", "given_names": "Matteo" } ], "titles": [ { "source": "Springer", "title": "On scalar charges and black hole thermodynamics" } ], "dois": [ { "value": "10.1007/JHEP05(2023)158" } ], "publication_info": [ { "page_end": "26", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP05(2023)158", "year": 2023, "page_start": "1", "journal_issue": "5" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-08-24T00:31:14.858668", "source": "Springer", "method": "Springer", "submission_number": "5c13f3c8421511ee91ac6ee2827c7def" }, "page_nr": [ 26 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "77764", "record_creation_date": "2023-05-19T06:30:27.014395", "_files": [ { "checksum": "md5:600add75b421935186889a393979e6d0", "filetype": "xml", "bucket": "3382cb40-12d5-4737-9e9a-237573a71c12", "version_id": "39d30edf-c52a-4d01-9691-c0a7dd7c562f", "key": "10.1007/JHEP05(2023)158.xml", "size": 11980 }, { "checksum": "md5:28c905028e024cc31eb0e0e7dca51a85", "filetype": "pdf/a", "bucket": "3382cb40-12d5-4737-9e9a-237573a71c12", "version_id": "30c3fd3a-4f5b-45f9-845b-cac747dc6281", "key": "10.1007/JHEP05(2023)158_a.pdf", "size": 409438 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "gr-qc" ], "value": "2302.11630" } ], "abstracts": [ { "source": "Springer", "value": "We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald\u2019s formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in the background of stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black holes." } ], "imprints": [ { "date": "2023-05-18", "publisher": "Springer" } ] }