Einstein–Rosen metric

Phenomena

Spacetime
Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation Gravitational waves Frame-dragging Geodetic effect Event horizon Singularity Black hole
Spacetime diagrams Minkowski spacetime Einstein–Rosen bridge

Equations
Formalisms

Equations
Linearized gravity Einstein field equations Friedmann Geodesics Mathisson–Papapetrou–Dixon Hamilton–Jacobi–Einstein
Formalisms
ADM BSSN Post-Newtonian
Advanced theory
Kaluza–Klein theory Quantum gravity

In general relativity, the Einstein–Rosen metric is an exact solution to the Einstein field equations derived in 1937 by Albert Einstein and Nathan Rosen.^[1] It is the first exact solution to describe the propagation of a gravitational wave.

This metric can be written in a form such that the Belinski–Zakharov transform applies, and thus has the form of a gravitational soliton.

In 1972 and 1973, J. R. Rao, A. R. Roy, and R. N. Tiwari published a class of exact solutions involving the Einstein-Rosen metric.^[2]^[3]^[4]

In 2021 Robert F. Penna found an algebraic derivation of the Einstein-Rosen metric.^[5]

In the history of science, one might consider as a footnote to the Einstein-Rosen metric that Einstein, for some time, believed that he had found a non-existence proof for gravitational waves.^[6]

Notes

^ Einstein, Albert & Rosen, Nathan (1937). "On Gravitational waves". Journal of the Franklin Institute. 223: 43–54. Bibcode:1937FrInJ.223...43E. doi:10.1016/S0016-0032(37)90583-0.
^ Rao, J.R.; Roy, A.R.; Tiwari, R.N. (1972). "A class of exact solutions for coupled electromagnetic and scalar fields for einstein-rosen metric. I". Annals of Physics. 69 (2): 473–486. Bibcode:1972AnPhy..69..473R. doi:10.1016/0003-4916(72)90187-X.
^ Rao, J.R; Tiwari, R.N; Roy, A.R (1973). "A class of exact solutions for coupled electromagnetic and scalar fields for Einstein-Rosen metric. Part IA". Annals of Physics. 78 (2): 553–560. Bibcode:1973AnPhy..78..553R. doi:10.1016/0003-4916(73)90272-8.
^ Roy, A.R; Rao, J.R; Tiwari, R.N (1973). "A class of exact solutions for coupled electromagnetic and scalar fields for einstein-rosen metric. II". Annals of Physics. 79 (1): 276–283. Bibcode:1973AnPhy..79..276R. doi:10.1016/0003-4916(73)90293-5.
^ Penna, Robert F. (2021). "Einstein–Rosen waves and the Geroch group". Journal of Mathematical Physics. 62 (8): 082503. arXiv:2106.13252. Bibcode:2021JMP....62h2503P. doi:10.1063/5.0061929. S2CID 235651978.
^ Kennefick, Daniel (2005). "Einstein Versus the Physical Review". Physics Today. 58 (9): 43–48. Bibcode:2005PhT....58i..43K. doi:10.1063/1.2117822.

This relativity-related article is a stub. You can help Wikipedia by expanding it.

Read other articles:

Kholil al-Bangkalani

Peringatan Sebagian atau keseluruhan dari artikel ini dicurigai telah melanggar hak cipta dari tulisan pihak di luar Wikipedia, dan selanjutnya akan dimasukkan dalam daftar Wikipedia:Artikel bermasalah hak cipta: Disarankan untuk tidak melakukan perubahan apapun sampai masalah pelanggaran hak cipta di artikel ini diteliti pengguna lain dan diputuskan melalui konsensus Cek lewat Alat Pendeteksi Copyvio Earwig (di Toolforge) Jika Anda ingin menulis ulang artikel ini sebagai tulisan yang sama s...

Naguib el-Rihani

Naguib el-RihaniNama asalنجيب الريحانيLahirNaguib Elias Rehanaنجيب إلياس ريحانة(1889-01-21)21 Januari 1889Kairo, MesirMeninggal8 Juni 1949(1949-06-08) (umur 60)Iskandariyah, MesirKebangsaanMesirPekerjaanPemeranSuami/istriLucie de Vernay, Badia Masabni Naguib el-Rihani (Arab: نجيب الريحانيcode: ar is deprecated ; 21 Januari 1889 – 8 Juni 1949)[1][2][3] adalah seorang pemeran asal Mesir. Ia lahir di Bab El...

Wahyu 5

Wahyu 5Wahyu 13:16-14:4 yang tertulis pada fragmen Papirus 47 dari abad ke-3 M.KitabKitab WahyuKategoriApokalipsBagian Alkitab KristenPerjanjian BaruUrutan dalamKitab Kristen27← pasal 4 pasal 6 → Wahyu 5 (disingkat Why 5) adalah bagian dari Wahyu kepada Yohanes, kitab terakhir dalam Perjanjian Baru di Alkitab Kristen.[1][2] Pengarangnya diyakini adalah Yohanes bin Zebedeus, seorang dari Keduabelas Rasul Yesus Kristus.[3][4][5] Teks Naskah as...

Neighborhoods of Richmond, Virginia

This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations. (October 2012) (Learn how and when to remove this template message) This article needs additional citations for verification. Please help improve this article b...

Человек прямоходящий

† Человек прямоходящий Научная классификация Домен:ЭукариотыЦарство:ЖивотныеПодцарство:ЭуметазоиБез ранга:Двусторонне-симметричныеБез ранга:ВторичноротыеТип:ХордовыеПодтип:ПозвоночныеИнфратип:ЧелюстноротыеНадкласс:ЧетвероногиеКлада:АмниотыКлада:Синапсиды�...

Darryn Binder

Darryn BinderBinder di tahun 2019KebangsaanAfrika SelatanLahir21 Januari 1998 (umur 26)Potchefstroom, Afrika SelatanTim saat iniPetronas Sprinta RacingNo. motor40 Catatan statistik Karier Kejuaraan Dunia Moto3Tahun aktif2015– PabrikanMahindra, KTM Klasemen 20208th (122 poin) Start Menang Podium Pole F. lap Poin 100 1 5 2 4 311 Darryn Binder (lahir 21 Januari 1998) adalah pembalap motor profesional Afrika Selatan yang berkompetisi di kelas Moto2. Karier Binder lahir di Potchefstroom, Af...

حمام كيجة جية

هذه المقالة بحاجة لصندوق معلومات. فضلًا ساعد في تحسين هذه المقالة بإضافة صندوق معلومات مخصص إليها. حمام كيجة جية أو حمام كيجة جيلر ومعناه (أهل اللباد)، وبعد ذلك عرف باسم حمام كجو[1] وهو من حمامات بغداد العامة القديمة يقع في محلة العاقولية، شارع باب الآغا بجانب الرصافة من ...

Johannes Gutenberg

Johannes GutenbergLahirJohannes Gensfleisch zur Laden Gutenbergc. 1398-1400Mainz, Keuskupan Agung MainzMeninggal3 Februari 1468 (berusia 70 tahun)Mainz, Keuskupan Agung MainzSebab meninggalSerangan JantungKebangsaanJermanPekerjaanGravir, Penemu, & PencetakDikenal atasPenemuan dari Movable Printing PressSuami/istriElse Wirick zum Gutenburg Johannes Gensfleisch zur Laden zum Gutenberg (sekitar 1398 - 3 Februari 1468) adalah seorang pandai logam dan penemu berkebangsaan Jerman yang mem...

Ministère de l'Éducation (Danemark)

Pour les articles homonymes, voir Ministère de l'Éducation. Ministère de l'Éducation(da) UndervisningsministerietHistoireFondation 1916Prédécesseur Kultus Ministry of Denmark (d)CadreType MinistèreForme juridique Unité administrative gouvernementaleMinistère StaldmestergårdenPays DanemarkOrganisationMinistre Mattias TesfayeSite web uvm.dkIdentifiantsCVR 20453044OpenCorporates dk/20453044modifier - modifier le code - modifier Wikidata Le ministère de l'Éducation est un minis...

Повітряні сили Збройних сил України

Ця стаття потребує додаткових посилань на джерела для поліпшення її перевірності. Будь ласка, допоможіть удосконалити цю статтю, додавши посилання на надійні (авторитетні) джерела. Зверніться на сторінку обговорення за поясненнями та допоможіть виправити недоліки. Мат...

哈萨克斯坦总统

此条目序言章节没有充分总结全文内容要点。 (2019年3月21日)请考虑扩充序言，清晰概述条目所有重點。请在条目的讨论页讨论此问题。哈萨克斯坦總統哈薩克總統旗現任Қасым-Жомарт Кемелұлы Тоқаев卡瑟姆若马尔特·托卡耶夫自2019年3月20日在任任期7年首任努尔苏丹·纳扎尔巴耶夫设立1990年4月24日（哈薩克蘇維埃社會主義共和國總統）哈萨克斯坦哈萨克斯坦政府...

يونس بن يزيد الأيلي

يونس بن يزيد الأيلي معلومات شخصية مكان الميلاد العقبة الوفاة 159 هـمصر الكنية أبو يزيد اللقب الأيلي القرشي الحياة العملية الطبقة الطبقة الخامسة، صغار التابعين المهنة مُحَدِّث تعديل مصدري - تعديل أَبُو يزيد يونس ابْن يزيد بْن مشكان بْن أَبِي النجاد الأيلي القرشي كان...

Provincias de Portugal

Este artículo o sección tiene referencias, pero necesita más para complementar su verificabilidad. Busca fuentes: «Provincias de Portugal» – noticias · libros · académico · imágenesPuedes avisar al redactor principal pegando lo siguiente en su página de discusión: {{sust:Aviso referencias|Provincias de Portugal}} ~~~~Este aviso fue puesto el 16 de marzo de 2024. Condado portucalense, hacia 1070. Las provincias de Portugal son una antigua división administrat...

Edie Falco

Edie FalcoFalco pada tahun 2010LahirEdith Falco05 Juli 1963 (umur 60)New York City, New York, Amerika SerikatAlmamaterState University of New York at Purchase (BFA)PekerjaanPemeranTahun aktif1987–kiniAnak2 Edith Falco (lahir 5 Juli 1963) adalah seorang pemeran asal Amerika Serikat. Ia dikenal karena berperan sebagai Diane Whittlesey dalam seri HBO Oz (1997–2000) dan Carmela Soprano dalam seri HBO The Sopranos (1999–2007). Referensi Pranala luar Cari tahu mengenai Edie Falco p...

Nehemiah 13

A chapter in the Book of Nehemiah Nehemiah 13← chapter 12Esther 1 →Greek Orthodox Icon of Nehemiah, mounted on solid wood.BookBook of NehemiahCategoryKetuvimChristian Bible partOld TestamentOrder in the Christian part16 Nehemiah 13 is the thirteenth (and the final) chapter of the Book of Nehemiah in the Old Testament of the Christian Bible,[1] or the 23rd chapter of the book of Ezra-Nehemiah in the Hebrew Bible, which treats the book of Ezra and the book of Nehemiah as o...

African Space Agency

African Union's space organisation African Space AgencyAgency overviewFormed24 January 2023; 16 months ago (2023-01-24)TypeSpace agencyJurisdictionAfrican UnionStatusActiveHeadquartersNew Cairo, Egypt Politics of the African Union Institutions Casablanca Group Union of African States Organisation of African Unity African Economic Community African Unification Front Executive Assembly Chairperson Commission Chairperson Conference and Events Peace & Sec. Pol. Affairs Infra...

Pinta (ship)

One of the three ships participating on Columbus' first transatlantic voyage Replica of La Pinta, in Palos de la Frontera History Castile NameUnknown (see nickname) OwnerCristóbal Quintero and Gómez Rascón Launched1441(?) Nickname(s)La Pinta General characteristics TypeCaravel Tons burthen60–70 tons Length17 m (56 ft) on deck Beam5.36 m (17.6 ft) Draught2.31 m (7.6 ft) Propulsionsail Complement26 La Pinta (Spanish for The Painted One, The Look, or The Spotte...

Young, Fly & Flashy, Vol. 1

This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages) This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources.Find sources: Young, Fly & Flashy, Vol. 1 – news · newspapers · books · scholar · JSTOR (April 2023) The to...

2014 European Athletics Championships – Men's 110 metres hurdles

2014 EuropeanAthletics ChampionshipsTrack events100 mmenwomen200 mmenwomen400 mmenwomen800 mmenwomen1500 mmenwomen5000 mmenwomen10,000 mmenwomen100 m hurdleswomen110 m hurdlesmen400 m hurdlesmenwomen3000 msteeplechasemenwomen4 × 100 m relaymenwomen4 × 400 m relaymenwomenRoad eventsMarathonmenwomenMarathon teammenwomen20 km walkmenwomen50 km walkmenField eventsHigh jumpmenwomenPole vaultmenwomenLong jumpmenwomenTriple jumpmenwomenShot putmenwomenDiscus throwmenwomenHammer throwmenwomenJavel...

بورت أرانساس

بورت أرانساس الإحداثيات 27°48′39″N 97°04′20″W / 27.810833333333°N 97.072222222222°W / 27.810833333333; -97.072222222222 [1] تقسيم إداري البلد الولايات المتحدة[2] التقسيم الأعلى مقاطعة نويسيز خصائص جغرافية المساحة 31338856 متر مربع ارتفاع 2 متر عدد السكان عدد...