The gravitational energy

Novello, M.; Bittencourt, E.

The gravitational energy

Nov 26, 2013

8 pages

e-Print:

1311.6984 [gr-qc]

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Abstract: (arXiv)

We present the expression

t_{\mu\nu}

of the energy-momentum tensor of the gravitational field in the framework of the recent proposal of the Geometric Scalar theory of gravity (GSG). From the conservation of

t_{\mu\nu}

it follows the dynamics of the gravitational field. As an example of this expression for

t_{\mu\nu}

we calculate the gravitational energy of a compact object.

Note:

8 pages

gravitation: energy
gravitation: tensor
tensor: energy-momentum
conservation law

References(13)

Figures(0)

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Geometric scalar theory of gravity

M. Novello
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)
,
E. Bittencourt
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- Rio de Janeiro, CBPF
)
,
U. Moschella
(
- INFN, Milan and
- Insubria U., Como
)
,
E. Goulart
(
- Rio de Janeiro, CBPF
)
,
J.M. Salim
(
- Rio de Janeiro, CBPF
)

et al.

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•
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•
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[12]

We note that distinct from GR in the Scalar Gravity only five components of the energy-momentum of matter enter in the dynamics of the gravitational field. We used this property to re-write the dynamics of GSG in terms of a field theory in the auxiliary Minkowski background along the same lines as it was undertaken by Gupta, Feynmann and others in the realm of GR

[13]

Some parts of the numerical integration were also verified making use of Maple c and Mathematica c