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A variant of determining the pressure of the gravitational field and vacuum is possible based on the local properties of gravitational systems.

W. Belayev, Local Pressure of the Gravity Field & Vacuum, Prespacetime Journal, Vol 7, No 11 (2016), 1484

D.YU. Tsipenyuk, W.B. Belayev, Dependence of universe deceleration parameter on cosmological constant: mechanism of vacuum pressure excitation by matter Rom. Rep. Phys. 72(3), 113 (2020).

D Yu Tsipenyuk and W B Belayev (2023) Gravitational Waves, Fields, and Particles in the Frame of (1 + 4)D Extended Space Model. Gravitational Waves - Theory and Observations. Part 8.

Based on Sakharov’s idea of a ‘metrical elasticity’ of space, i.e., of the emergence of a generalized force, preventing distortion of space, pressure of the vacuum is detected as per the geometry of the space around the local gravity system. The gravitational defect of mass is interpreted as the transfer of energy to the vacuum, which becomes apparent from its deformation. The gravitational impact of matter with dencity $\rho$ on the vacuum $p=(1/3)c^2\rho$ and opposite in the sign pressure of it $p_v=(1/3)c^2\rho$$p_v=-(1/3)c^2\rho$ is determined in case of weakly gravitating static centrally symmetric distribution. It is assumed that it is the vacuum pressure $p_v$ that is the source of gravity. It is included in the energy-momentum tensor, which corresponds to the solution of the Einstein equations for a spherical static source of gravity with a constant density, described by the metric $$d{{s}^{2}}=\left( 1-\frac{8\pi G}{3c^2}\rho a^2 \right)d{{t}^{2}}-\frac{d{{r}^{2}}}{1-\frac{8\pi G}{3c^2}\rho r^2}-{{r}^{2}}(d{{\theta }^{2}}+{{\sin }^{2}}\theta \,d{{\phi }^{2}})$$ with radius of the sphere $a$.

A variant of determining the pressure of the gravitational field and vacuum is possible based on the local properties of gravitational systems.

W. Belayev, Local Pressure of the Gravity Field & Vacuum, Prespacetime Journal, Vol 7, No 11 (2016), 1484

D.YU. Tsipenyuk, W.B. Belayev, Dependence of universe deceleration parameter on cosmological constant: mechanism of vacuum pressure excitation by matter Rom. Rep. Phys. 72(3), 113 (2020).

D Yu Tsipenyuk and W B Belayev (2023) Gravitational Waves, Fields, and Particles in the Frame of (1 + 4)D Extended Space Model. Gravitational Waves - Theory and Observations. Part 8.

Based on Sakharov’s idea of a ‘metrical elasticity’ of space, i.e., of the emergence of a generalized force, preventing distortion of space, pressure of the vacuum is detected as per the geometry of the space around the local gravity system. The gravitational defect of mass is interpreted as the transfer of energy to the vacuum, which becomes apparent from its deformation. The gravitational impact of matter with dencity $\rho$ on the vacuum $p=(1/3)c^2\rho$ and opposite in the sign pressure of it $p_v=(1/3)c^2\rho$ is determined in case of weakly gravitating static centrally symmetric distribution. It is assumed that it is the vacuum pressure $p_v$ that is the source of gravity. It is included in the energy-momentum tensor, which corresponds to the solution of the Einstein equations for a spherical static source of gravity with a constant density, described by the metric $$d{{s}^{2}}=\left( 1-\frac{8\pi G}{3c^2}\rho a^2 \right)d{{t}^{2}}-\frac{d{{r}^{2}}}{1-\frac{8\pi G}{3c^2}\rho r^2}-{{r}^{2}}(d{{\theta }^{2}}+{{\sin }^{2}}\theta \,d{{\phi }^{2}})$$ with radius of the sphere $a$.

A variant of determining the pressure of the gravitational field and vacuum is possible based on the local properties of gravitational systems.

W. Belayev, Local Pressure of the Gravity Field & Vacuum, Prespacetime Journal, Vol 7, No 11 (2016), 1484

D.YU. Tsipenyuk, W.B. Belayev, Dependence of universe deceleration parameter on cosmological constant: mechanism of vacuum pressure excitation by matter Rom. Rep. Phys. 72(3), 113 (2020).

D Yu Tsipenyuk and W B Belayev (2023) Gravitational Waves, Fields, and Particles in the Frame of (1 + 4)D Extended Space Model. Gravitational Waves - Theory and Observations. Part 8.

Based on Sakharov’s idea of a ‘metrical elasticity’ of space, i.e., of the emergence of a generalized force, preventing distortion of space, pressure of the vacuum is detected as per the geometry of the space around the local gravity system. The gravitational defect of mass is interpreted as the transfer of energy to the vacuum, which becomes apparent from its deformation. The gravitational impact of matter with dencity $\rho$ on the vacuum $p=(1/3)c^2\rho$ and opposite in the sign pressure of it $p_v=-(1/3)c^2\rho$ is determined in case of weakly gravitating static centrally symmetric distribution. It is assumed that it is the vacuum pressure $p_v$ that is the source of gravity. It is included in the energy-momentum tensor, which corresponds to the solution of the Einstein equations for a spherical static source of gravity with a constant density, described by the metric $$d{{s}^{2}}=\left( 1-\frac{8\pi G}{3c^2}\rho a^2 \right)d{{t}^{2}}-\frac{d{{r}^{2}}}{1-\frac{8\pi G}{3c^2}\rho r^2}-{{r}^{2}}(d{{\theta }^{2}}+{{\sin }^{2}}\theta \,d{{\phi }^{2}})$$ with radius of the sphere $a$.

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A variant of determining the pressure of the gravitational field and vacuum is possible based on the local properties of gravitational systems.

W. Belayev, Local Pressure of the Gravity Field & Vacuum, Prespacetime Journal, Vol 7, No 11 (2016), 1484

D.YU. Tsipenyuk, W.B. Belayev, Dependence of universe deceleration parameter on cosmological constant: mechanism of vacuum pressure excitation by matter Rom. Rep. Phys. 72(3), 113 (2020).

D Yu Tsipenyuk and W B Belayev (2023) Gravitational Waves, Fields, and Particles in the Frame of (1 + 4)D Extended Space Model. Gravitational Waves - Theory and Observations. Part 8.

Based on Sakharov’s idea of a ‘metrical elasticity’ of space, i.e., of the emergence of a generalized force, preventing distortion of space, pressure of the vacuum is detected as per the geometry of the space around the local gravity system. The gravitational defect of mass is interpreted as the transfer of energy to the vacuum, which becomes apparent from its deformation. The gravitational impact of matter with dencity $\rho$ on the vacuum $p=(1/3)c^2\rho$ and opposite in the sign pressure of it $p_v=(1/3)c^2\rho$ is determined in case of weakly gravitating static centrally symmetric distribution. It is assumed that it is the vacuum pressure $p_v$ that is the source of gravity. It is included in the energy-momentum tensor, which corresponds to the solution of the Einstein equations for a spherical static source of gravity with a constant density, described by the metric $$d{{s}^{2}}=\left( 1-\frac{8\pi G}{3c^2}\rho a^2 \right)d{{t}^{2}}-\frac{d{{r}^{2}}}{1-\frac{8\pi G}{3c^2}\rho r^2}-{{r}^{2}}(d{{\theta }^{2}}+{{\sin }^{2}}\theta \,d{{\phi }^{2}})$$ with radius of the sphere $a$.