Curvature Scalar;
Line Element;
Weyl Tensor;
Einstein Tensor;
Symmetric Spacetimes;
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摘要:
We deduce a simple expression for the Kretschmann curvature scalar of a conformally flat spacetime with a perfect fluid. Conformally flat, static, spherically symmetric spacetimes are investigated in various coordinate systems. The equation for a vanishing Weyl tensor and Einstein's field equations are integrated in curvature coordinates. We find conformally flat generalizations of the de Sitter spacetime and give new analyses of the internal Schwarzschild spacetime and texture-dominated spacetimes. The spacetimes are described in curvature coordinates, isotropic coordinates and in conformally flat spacetime coordinates.
机构:
Univ KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South AfricaUniv KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa
Mayala, Roger M.
Goswami, Rituparno
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Univ KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South AfricaUniv KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa
机构:
Univ British Columbia Okanagan, Irving K Barber Sch Arts & Sci, Kelowna, BC V1V 1V7, CanadaUniv British Columbia Okanagan, Irving K Barber Sch Arts & Sci, Kelowna, BC V1V 1V7, Canada
Cresswell, Jesse C.
Vollick, Dan N.
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Univ British Columbia Okanagan, Irving K Barber Sch Arts & Sci, Kelowna, BC V1V 1V7, CanadaUniv British Columbia Okanagan, Irving K Barber Sch Arts & Sci, Kelowna, BC V1V 1V7, Canada
机构:
Univ KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South AfricaUniv KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa
Goswami, Rituparno
Maharaj, Sunil D. D.
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Univ KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South AfricaUniv KwaZulu Natal, Astrophys Res Ctr, Sch Math Stat & Comp Sci, Private Bag X54001, ZA-4000 Durban, South Africa
机构:
Univ Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, MalaysiaUniv Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Malaysia
De, Avik
Arora, Simran
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Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, IndiaUniv Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Malaysia
Arora, Simran
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De, Uday Chand
Sahoo, P. K.
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机构:
Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad Campus, Hyderabad 500078, IndiaUniv Tunku Abdul Rahman, Dept Math & Actuarial Sci, Jalan Sungai Long, Cheras 43000, Malaysia