Browse Category by Gravity
Gravity

Ernst equation and Riemann surfaces : analytical and by Christian Klein

By Christian Klein

Exact recommendations to Einstein’s equations were worthwhile for the knowledge of basic relativity in lots of respects. they've got resulted in such actual options as black holes and occasion horizons, and helped to imagine attention-grabbing good points of the idea. This quantity stories the strategies to the Ernst equation linked to Riemann surfaces intimately. furthermore, the ebook discusses the actual and mathematical points of this category analytically in addition to numerically.

Show description

Continue Reading

Gravity

The Many Faces of Maxwell, Dirac and Einstein Equations: A by Jr, Waldyr A. Rodrigues, Edmundo Capelas de Oliveira

By Jr, Waldyr A. Rodrigues, Edmundo Capelas de Oliveira

This booklet is an exposition of the algebra and calculus of differential
forms, of the Clifford and Spin-Clifford package deal formalisms, and of vistas to a
formulation of vital strategies of differential geometry necessary for an
in-depth realizing of space-time physics.

The formalism discloses the hidden geometrical nature of spinor fields.
Maxwell, Dirac and Einstein fields are proven to have representatives through objects
of an analogous mathematical nature, specifically sections of an acceptable Clifford
bundle. This process finds team spirit in variety and indicates relationships
that are hidden within the general formalisms and opens new paths for research.

This completely revised moment variation additionally provides 3 new chapters: at the Clifford
bundle method of the Riemannian or semi-Riemannian differential geometry of
branes; on Komar currents within the context of the overall Relativity concept; and
an research of the similarities and major transformations among Dirac, Majorana
and ELKO spinor fields.
The workouts with strategies, the
comprehensive checklist of mathematical symbols, and the checklist of acronyms and
abbreviations are supplied for self-study for college kids in addition to for classes.

From the experiences of the first
edition:

“The textual content is written in a very
readable demeanour and is complemented with lots of worked-out workouts which
are within the type of prolonged examples. ... their ebook function a
textbook for graduate scholars in physics or mathematics." (Alberto
Molgado, Mathematical experiences, 2008 k)

Show description

Continue Reading

Gravity

Theoretische Physik 3: klassische Feldtheorie by Florian Scheck

By Florian Scheck

Theoretische Physik three. Klassische Feldtheorie. Von der Elektrodynamik zu den Eichtheorien ist der dritte von f?nf B?nden zur Theoretischen Physik von Professor Scheck.

Der Zyklus Theoretische Physik umfa?t: Band 1: Mechanik. Von den Newtonschen Gesetzen zum deterministischen Chaos, Band 2: Nichtrelativistische Quantentheorie. Vom Wasserstoffatom zu den Vielteilchensystemen, Band three: Klassische Feldtheorie. Von der Elektrodynamik zu den Eichtheorien, Band four: Quantisierte Felder. Von den Symmetrien zur Quantenelektrodynamik,  Band five: Theorie der W?rme. Von den Haupts?tzen der Thermodynamik zur Quantenstatistik.

Das Lehrbuch vermittelt eine moderne Theoretische Physik in stringenter Darstellung. Aufgaben und L?sungshinweise oder exemplarische, vollst?ndige L?sungen finden sich unter www.springer.de und helfen bei der Erarbeitung des Stoffes. 

Show description

Continue Reading

Gravity

Spezielle und allgemeine Relativitätstheorie: Grundlagen, by Sebastian Boblest, Thomas Müller, Günter Wunner

By Sebastian Boblest, Thomas Müller, Günter Wunner

Das vorliegende Buch verknüpft die mathematischen Grundlagen der speziellen und allgemeinen Relativitätstheorie mit zahlreichen Anwendungsgebieten aus Physik und Astronomie. Neben der Diskussion von klassischen Experimenten , welche die Vorhersagen der Relativitätstheorie bestätigen, wird ein Fokus auf die Kosmologie als Anwendung der Relativitätstheorie gesetzt. Die Behandlung der Physik kompakter stellarer Objekte, d. h. von weißen Zwergen, Neutronensternen und schwarzen Löchern, mit einem kurzen Abschnitt zur Entstehung und Entwicklung von Sternen runden die Darstellung ab.

Einen besonderen Schwerpunkt legen die Autoren auf die relativistische Visualisierung. In zwei Kapiteln bekommt der Leser einen Überblick über verschiedene Techniken in der speziellen und allgemeinen Relativitätstheorie. Anhand von Beispielen können die der Alltagserfahrung scheinbar widersprechenden Vorhersagen der Relativitätstheorie besser fassbar gemacht werden. Die daraus gewonnenen Abbildungen und begleitenden movies erweitern das Verständnis der im textual content behandelten Themen.

Das Buch richtet sich besonders an Studierende der Physik und verwandter Studiengänge, die sich einen Überblick über die Relativitätstheorie und ihre Anwendungsgebiete verschaffen möchten, aber auch interessierten Laien können damit interessante Einsichten gewinnen.

Show description

Continue Reading

Gravity

The Three-body Problem from Pythagoras to Hawking by Mauri Valtonen, Joanna Anosova, Konstantin Kholshevnikov,

By Mauri Valtonen, Joanna Anosova, Konstantin Kholshevnikov, Aleksandr Mylläri, Victor Orlov, Kiyotaka Tanikawa

This ebook, written for a basic readership, experiences and explains the three-body challenge in old context achieving to most recent advancements in computational physics and gravitation concept. The three-body challenge is without doubt one of the oldest difficulties in technological know-how and it truly is so much appropriate even in today’s physics and astronomy.

The lengthy heritage of the matter from Pythagoras to Hawking parallels the evolution of rules approximately our actual universe, with a specific emphasis on figuring out gravity and the way it operates among astronomical our bodies. The oldest astronomical three-body challenge is the query how and whilst the moon and the solar line up with the earth to supply eclipses. as soon as the common gravitation used to be found via Newton, it turned instantly an issue to appreciate why those three-bodies shape a strong approach, inspite of the pull exerted from one to the opposite. in truth, it used to be a huge query no matter if the program is solid in any respect within the lengthy run.

Leading mathematicians attacked this challenge over greater than centuries with no arriving at a distinct resolution. The creation of desktops within the final half-a-century has revolutionized the learn; now many solutions were came across whereas new questions about the three-body challenge have sprung up. some of the most contemporary advancements has been within the remedy of the matter in Einstein’s basic Relativity, the recent conception of gravitation that is an development on Newton’s conception. Now it really is attainable to resolve the matter for 3 black holes and to check essentially the most primary theorems of black gap physics, the no-hair theorem, because of Hawking and his co-workers.

Show description

Continue Reading

Gravity

Inflationary Cosmology (Lecture Notes in Physics) by Martin Lemoine, Jérôme Martin, Patrick Peter

By Martin Lemoine, Jérôme Martin, Patrick Peter

A few 25 years after the delivery of inflationary cosmology, this quantity units out to supply either an authoritative and pedagogical creation and assessment of the present country of the sector. Readers find out about the arguments helping the numerous varied eventualities of cosmic inflation. Articles are written via eminent scientists, a lot of whom have made pioneering contributions to the sphere of inflationary cosmology.

Show description

Continue Reading