Jørg Tofte Jebsen
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Jørg Tofte Jebsen (27 April 1888 – 7 January 1922) was a physicist from Norway, where he was the first to work on Einstein's
general theory of relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physi ...
. In this connection he became known after his early death for what many now call the Jebsen-Birkhoff theorem for the
metric tensor In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold (such as a surface) that allows defining distances and angles, just as the inner product on a Euclidean space allows ...
outside a general, spherical mass distribution.


Biography

Jebsen was born and grew up in Berger, Vestfold, where his father Jens Johannes Jebsen ran two large
textile mill Textile manufacturing or textile engineering is a major industry. It is largely based on the conversion of fibre into yarn, then yarn into fabric. These are then dyed or printed, fabricated into cloth which is then converted into useful good ...
s. His mother was Agnes Marie Tofte and they had married in 1884. After elementary school he went through
middle school Middle school, also known as intermediate school, junior high school, junior secondary school, or lower secondary school, is an educational stage between primary school and secondary school. Afghanistan In Afghanistan, middle school includes g ...
and gymnasium in
Oslo Oslo ( or ; ) is the capital and most populous city of Norway. It constitutes both a county and a municipality. The municipality of Oslo had a population of in 2022, while the city's greater urban area had a population of 1,064,235 in 2022 ...
. He showed already then particular talents for mathematical topics.N. Voje Johansen og F. Ravndal
''Jørg T. Jebsen og Birkhoffs teorem''
Fra Fysikkens Verden 4, 96-103 (2004).
After the final
examen artium Examen artium was the name of the academic certification conferred in Denmark and Norway, qualifying the student for admission to university studies. Examen artium was originally introduced as the entrance exam of the University of Copenhagen in 1 ...
in 1906, he did not continue his academic studies at a
university A university () is an educational institution, institution of tertiary education and research which awards academic degrees in several Discipline (academia), academic disciplines. ''University'' is derived from the Latin phrase , which roughly ...
as would be normal at that time. He was meant to enter his father's company and spent for that purpose two years in
Aachen Aachen is the List of cities in North Rhine-Westphalia by population, 13th-largest city in North Rhine-Westphalia and the List of cities in Germany by population, 27th-largest city of Germany, with around 261,000 inhabitants. Aachen is locat ...
in Germany where he studied
textile manufacturing Textile manufacturing or textile engineering is a major industry. It is largely based on the conversion of fibre into yarn, then yarn into fabric. These are then dyed or printed, fabricated into cloth which is then converted into useful good ...
. After a shorter stay in England, he came back to Norway and started to work with his father. But his interests for
natural science Natural science or empirical science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer ...
took over so that in 1909 he started this field of study at
University of Oslo The University of Oslo (; ) is a public university, public research university located in Oslo, Norway. It is the List of oldest universities in continuous operation#Europe, oldest university in Norway. Originally named the Royal Frederick Univ ...
. His work there was interrupted in the period 1911-12 when he was an assistant for Sem Sæland at the newly established
Norwegian Institute of Technology The Norwegian Institute of Technology ( Norwegian: ''Norges tekniske høgskole'', NTH) was a science institute in Trondheim, Norway. It was established in 1910, and existed as an independent technical university for 58 years, after which it was ...
(NTH) in
Trondheim Trondheim ( , , ; ), historically Kaupangen, Nidaros, and Trondhjem (), is a city and municipality in Trøndelag county, Norway. As of 2022, it had a population of 212,660. Trondheim is the third most populous municipality in Norway, and is ...
. Back in Oslo he took up investigations of
X-ray crystallography X-ray crystallography is the experimental science of determining the atomic and molecular structure of a crystal, in which the crystalline structure causes a beam of incident X-rays to Diffraction, diffract in specific directions. By measuring th ...
with Lars Vegard. With his help he could pursue this work at
University of Berlin The Humboldt University of Berlin (, abbreviated HU Berlin) is a public research university in the central borough of Mitte in Berlin, Germany. The university was established by Frederick William III on the initiative of Wilhelm von Humbol ...
starting in the spring of 1914. That was at the same time as
Einstein Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
took up his new position there.


Theory of relativity

During the stay in Berlin it became clear that his main interests were in
theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental p ...
and
electrodynamics In physics, electromagnetism is an interaction that occurs between particles with electric charge via electromagnetic fields. The electromagnetic force is one of the four fundamental forces of nature. It is the dominant force in the interacti ...
in particular. This is central to Einstein's
special theory of relativity In physics, the special theory of relativity, or special relativity for short, is a scientific theory of the relationship between space and time. In Albert Einstein's 1905 paper, "On the Electrodynamics of Moving Bodies", the theory is presen ...
and would define his future work back in Norway. From 1916 he took a new job as assistant in Trondheim, but had to resign after a year because of health problems. In the summer of 1917 he married Magnhild Andresen in Oslo and they had a child a year later. They had then moved back to his parents home in Berger where he worked alone on a larger treatise with the title ''Versuch einer elektrodynamischen Systematik''. It was finished a year later in 1918 and he hoped that it could be used to obtain a doctors degree at the university. In the fall the same year he received treatment at a
sanatorium A sanatorium (from Latin '' sānāre'' 'to heal'), also sanitarium or sanitorium, is a historic name for a specialised hospital for the treatment of specific diseases, related ailments, and convalescence. Sanatoriums are often in a health ...
for what turned out to be
tuberculosis Tuberculosis (TB), also known colloquially as the "white death", or historically as consumption, is a contagious disease usually caused by ''Mycobacterium tuberculosis'' (MTB) bacteria. Tuberculosis generally affects the lungs, but it can al ...
. The faculty at the University in Oslo sent Jebsen's thesis for evaluation to
Carl Wilhelm Oseen Carl Wilhelm Oseen (17 April 1879 in Lund – 7 November 1944 in Uppsala) was a theoretical physicist in Uppsala and Director of the Nobel Institute for Theoretical Physics in Stockholm. Life Oseen was born in Lund, and took a Fil. Kand. degree ...
at the
University of Uppsala Uppsala University (UU) () is a public research university in Uppsala, Sweden. Founded in 1477, it is the oldest university in Sweden and the Nordic countries still in operation. Initially founded in the 15th century, the university rose to s ...
. He had some critical comments with the result that it was approved for the more ordinary cand.real. degree. But Oseen had found this student so promising that he shortly thereafter was invited to work with him. Jebsen came to Uppsala in the fall of 1919 where he could follow lectures by Oseen on
general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...
.


Jebsen–Birkhoff theorem

At that time it was natural to study the exact solution of Einstein’s equations for the metric outside a static, spherical mass distribution found by
Karl Schwarzschild Karl Schwarzschild (; 9 October 1873 – 11 May 1916) was a German physicist and astronomer. Schwarzschild provided the first exact solution to the Einstein field equations of general relativity, for the limited case of a single spherical non-r ...
in 1916. Jebsen set out to extend this achievement to the more general case for a spherical mass distribution that varied with time. This would be of relevance for
pulsating star Stellar pulsations are caused by expansions and contractions in the outer layers as a star seeks to maintain equilibrium. These fluctuations in stellar radius cause corresponding changes in the luminosity of the star. Astronomers are able to dedu ...
s. After a relative short time he came to the surprising result that the static Schwarzschild solution still gives the exact metric tensor outside the mass distribution. It means that such a spherical, pulsating star will not emit
gravitational wave Gravitational waves are oscillations of the gravitational field that Wave propagation, travel through space at the speed of light; they are generated by the relative motion of gravity, gravitating masses. They were proposed by Oliver Heaviside i ...
s. During the spring 1920 he hoped to get the results published through the
Royal Swedish Academy of Sciences The Royal Swedish Academy of Sciences () is one of the Swedish Royal Academies, royal academies of Sweden. Founded on 2 June 1739, it is an independent, non-governmental scientific organization that takes special responsibility for promoting nat ...
. This was met by some difficulties, but after the intervention by Oseen it was accepted for publication in a Swedish journal for the natural sciences where it appeared the following year.J.T. Jebsen, ''Uber die allgemeinen kugelsymmetrischen Lösungen der Einsteinschen Gravitationsgleichungen im Vakuum'', Arkiv för matematik, astronomi och fysik, 15 (18), 1 - 9 (1921). His work did not seem to generate much interest. One reason can be that the Swedish journal was not so well-known abroad. A couple of years later it was rediscovered by
George David Birkhoff George David Birkhoff (March21, 1884November12, 1944) was one of the top American mathematicians of his generation. He made valuable contributions to the theory of differential equations, dynamical systems, the four-color problem, the three-body ...
who included it in a popular science book he wrote.G.D. Birkhoff, ''Relativity and Modern Physics'', Harvard University Press, Cambridge (1923). Thus it became known as "Birkhoff's theorem." The original discovery of Jebsen was pointed out first in 2005,N. Voje Johansen, F. Ravndal
''On the discovery of Birkhoff’s theorem''
General Relativity and Cosmology 38, 537-540 (2006).
and translated into English.J.T. Jebsen, ''On the general symmetric solutions of Einstein's gravitational equations in vacuo'', General Relativity and Cosmology 37 (12), 2253 - 2259 (2005). From that time on it is now more often called the Jebsen–Birkhoff theorem. Most modern-day proofs are along the lines of the original Jebsen derivation.C.W. Misner, K.S. Thorne and J.A. Wheeler, ''
Gravitation In physics, gravity (), also known as gravitation or a gravitational interaction, is a fundamental interaction, a mutual attraction between all massive particles. On Earth, gravity takes a slightly different meaning: the observed force b ...
'', W. H. Freeman, San Francisco (1973). .


Final years

Einstein came on a visit to Oslo in June 1920. He would give three public lectures about the theory of relativity after the invitation by the
Student Society A student society, student association, university society, student club, university club, or student organization is a society or an organization, operated by students at a university, college, or other educational institution, whose membership t ...
. Jebsen was also there, but it is not clear if he met him personally. In the fall the same year Jebsen traveled with his family to
Bolzano Bolzano ( ; ; or ) is the capital city of South Tyrol (officially the province of Bolzano), Northern Italy. With a population of 108,245, Bolzano is also by far the largest city in South Tyrol and the third largest in historical Tyrol. The ...
in northern Italy in order to find a milder climate to improve his deteriorating health. Here he wrote the first Norwegian presentation of the
differential geometry Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...
used in
general relativity General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the differential geometry, geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of grav ...
. He also found time to write a popular book on
Galileo Galilei Galileo di Vincenzo Bonaiuti de' Galilei (15 February 1564 – 8 January 1642), commonly referred to as Galileo Galilei ( , , ) or mononymously as Galileo, was an Italian astronomer, physicist and engineer, sometimes described as a poly ...
and his struggle with the church.J.T. Jebsen, ''Kjetteren Galilei og hans kamp mot Rom'', Aschehoug, Oslo (1921). But his health did not improve and he died there on January 7, 1922. A few weeks later he was buried near his home in Norway.


Referanser

{{DEFAULTSORT:Jebsen, Joerg Tofte Norwegian physicists Relativity theorists 1888 births 1922 deaths People from Vestfold