NDLI: Affine generalizations of gravity in the light of modern cosmology

Content Provider	Springer Nature Link
Author	Filippov, A. T.
Copyright Year	2011
Abstract	We discuss new models of an “affine” theory of gravity in multidimensional space-times with symmetric connections. We use and develop ideas of Weyl, Eddington, and Einstein, in particular, Einstein’s proposal to specify the space-time geometry by the use of the Hamilton principle. More specifically, the connection coefficients are determined using a “geometric” Lagrangian that is an arbitrary function of the generalized (nonsymmetric) Ricci curvature tensor (and, possibly, of other fundamental tensors) expressed in terms of the connection coefficients regarded as independent variables. Such a theory supplements the standard Einstein gravity with dark energy (the cosmological constant, in the first approximation), a neutral massive (or tachyonic) vector field (vecton), and massive (or tachyonic) scalar fields. These fields couple only to gravity and can generate dark matter and/or inflation. The new field masses (real or imaginary) have a geometric origin and must appear in any concrete model. The concrete choice of the geometric Lagrangian determines further details of the theory, for example, the nature of the vector and scalar fields that can describe massive particles, tachyons, or even “phantoms.” In “natural” geometric theories, which are discussed here, dark energy must also arise. We mainly focus on intricate relations between geometry and dynamics while only very briefly considering approximate cosmological models inspired by the geometric approach.
Starting Page	107
Ending Page	118
Page Count	12
File Format	PDF
ISSN	00815438
Journal	Proceedings of the Steklov Institute of Mathematics
Volume Number	272
Issue Number	1
e-ISSN	15318605
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2011-05-03
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Affine generalizations of gravity in the light of modern cosmology

Weyl-Eddington-Einstein affine gravity in the context of modern cosmology

Duality in Yang’s theory of gravity

An affinity for affine quantum gravity

On the Weyl- Eddington-Einstein affine gravity in the context of modern cosmology (2010)

Affine gravity, Palatini formalism and charges

Affine invariant points

An affine invariant characterization of flat gravity curves

Alternating group covers of the affine line

Affine generalizations of gravity in the light of modern cosmology

Similar Documents

Affine generalizations of gravity in the light of modern cosmology

Weyl-Eddington-Einstein affine gravity in the context of modern cosmology

Duality in Yang’s theory of gravity

An affinity for affine quantum gravity

On the Weyl- Eddington-Einstein affine gravity in the context of modern cosmology (2010)

Affine gravity, Palatini formalism and charges

Affine invariant points

An affine invariant characterization of flat gravity curves

Alternating group covers of the affine line

Affine generalizations of gravity in the light of modern cosmology