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Ricci Curvature of Finsler Metrics by Warped Product- [electronic resource]
Ricci Curvature of Finsler Metrics by Warped Product- [electronic resource]
- 자료유형
- 학위논문
- Control Number
- 0016932529
- International Standard Book Number
- 9798379678869
- Dewey Decimal Classification Number
- 517
- Main Entry-Personal Name
- Marcal, Patricia.
- Publication, Distribution, etc. (Imprint
- [S.l.] : Purdue University., 2020
- Publication, Distribution, etc. (Imprint
- Ann Arbor : ProQuest Dissertations & Theses, 2020
- Physical Description
- 1 online resource(66 p.)
- General Note
- Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
- General Note
- Advisor: Shen, Zhongmin.
- Dissertation Note
- Thesis (Ph.D.)--Purdue University, 2020.
- Restrictions on Access Note
- This item must not be sold to any third party vendors.
- Summary, Etc.
- 요약In the present work, we consider a class of Finsler metrics using the warped product notion introduced by Chen, Shen and Zhao [1], with another "warping", one that is consistent with the form of metrics modeling static spacetimes and simplified by spherical symmetry over spatial coordinates, which emerged from the Schwarzschild metric in isotropic coordinates. We will give the PDE characterization for the proposed metrics to be Ricci-flat and construct explicit examples. Whenever possible, we describe both positive-definite solutions and solutions with Lorentz signature. For the latter, the 4-dimensional metrics may also be studied as Finsler spacetimes.
- Subject Added Entry-Topical Term
- Calculus.
- Subject Added Entry-Topical Term
- Spacetime.
- Subject Added Entry-Topical Term
- Gravity.
- Subject Added Entry-Topical Term
- Mathematicians.
- Subject Added Entry-Topical Term
- Inequality.
- Subject Added Entry-Topical Term
- Norms.
- Subject Added Entry-Topical Term
- Geometry.
- Subject Added Entry-Topical Term
- Topological manifolds.
- Subject Added Entry-Topical Term
- Asymmetry.
- Subject Added Entry-Topical Term
- Mathematics.
- Subject Added Entry-Topical Term
- Theoretical physics.
- Added Entry-Corporate Name
- Purdue University.
- Host Item Entry
- Dissertations Abstracts International. 84-12B.
- Host Item Entry
- Dissertation Abstract International
- Electronic Location and Access
- 로그인을 한후 보실 수 있는 자료입니다.
- Control Number
- joongbu:643150