1. Introduction
According to Newton’s law, two bodies of mass 
and 
attract one another with gravitational force whose magnitude is
. But Einstein’s general relativity does not consider gravity as a force rather it is a space-time curvature. As in [1] Newtonian field equation is
, but in general relativity the Einstein equation is
. On the other hand Maxwell equations [2] are the field equations of electromagnetism that relate the electromagnetic field to its source-charge and current. But Einstein’s equation relates the space-time curvature to its sourcethe mass-energy of matter. The well known unified electromagnetic field Equations [2] are 
and
. These imply that one observer’s electric field is another’s magnetic field and that depends on the relativity. In 1935, H. Yukawa proposed a theory on generation of strong force [3] which deals with particle physics. This theory implies a relation between electromagnetic field and strong field. After a long year of this contribution, the weak force and the electromagnetic force were unified in a theory presented independently by A. Salam, Weinberg and Glashow [4-6]. Afterwards a lot of papers, regarding unified field theory, have been published. However, in [7,8], trial have been made to deduce relations among the known fields (i.e. gravitational field, electromagnetic field, strong field) following a constructive method, which may satisfy the dream of Einstein’s fields unification. The present work is the modified formulation of unified field equations as discussed in [7,8].
2. Modified Relation among the Fields
The well known relations between electric field and magnetic field are
(1)
(2)
From (1) and (2) we shall have the matrix form of these field transformation as
(3)
(4)
where
, 
are two constants. Again, we would obtain from relativistic electrodynamics [2] the relations
(5)
(6)
where, 
is the proper velocity. So, using (3) and (4) we get from (5) and (6)
(7)
(8)
are also two constants.
where, 
But, 
are not separate. These are included in a field which is called electromagnetic field. According to [9,10] electromagnetic field function
. So, from (7) and (8) we get a generalized relation
(9)
where, 
This means that
transfer to
respectively in
. In [7] it reveals that through two simultaneous superimposed motions gravitational field transfers to electromagnetic field and the relation is
(10)
where
, 
, and
as in [7]. Again in [8] relation between strong field and electromagnetic field is given by
(11)
This leads to a relation between strong gravitational field (strong field) and weak gravitational field 
which is
(12)
Equations (7), (8), (10) and (11) are analogous. So, following (5) and (6) we can write the relations in vectorial form as
(13)
(14)
where, 
in (13) represents weak gravitational field and 
in (14) represents strong gravitational field or strong field. 
is the composed velocity as in [7] as well as four-velocity. In (13) and (14) 
are two constants.
Again from (12), (13) and (14) we can consider the vector relation between strong field and weak gravitational field which would give
(15)
where, 
is a constant like 
and 
3. Conclusion
In this work a constructive vector relation among the fields has been deduced. Equations (13)-(15) represent such relations which can clear the concepts of fields transformations. These also imply that field transformations are associated with relativistic phenomenon in different frames.
4. Acknowledgements
Author thanks the authorities and staff of Satmile High School, Satmile-721452, West Bengal, India for their continuous encouragements.
NOTES